TSTP Solution File: SET633+3 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 19:23:12 EDT 2023
% Result : Theorem 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 26 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 8 ~; 4 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 21 ( 0 sgn; 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th115,conjecture,
! [X1,X2,X3] :
( ( subset(difference(X1,X2),X3)
& subset(difference(X2,X1),X3) )
=> subset(symmetric_difference(X1,X2),X3) ),
file('/export/starexec/sandbox/tmp/tmp.flX3bozt1s/E---3.1_21938.p',prove_th115) ).
fof(symmetric_difference_defn,axiom,
! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.flX3bozt1s/E---3.1_21938.p',symmetric_difference_defn) ).
fof(union_subset,axiom,
! [X1,X2,X3] :
( ( subset(X1,X2)
& subset(X3,X2) )
=> subset(union(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/tmp.flX3bozt1s/E---3.1_21938.p',union_subset) ).
fof(c_0_3,negated_conjecture,
~ ! [X1,X2,X3] :
( ( subset(difference(X1,X2),X3)
& subset(difference(X2,X1),X3) )
=> subset(symmetric_difference(X1,X2),X3) ),
inference(assume_negation,[status(cth)],[prove_th115]) ).
fof(c_0_4,negated_conjecture,
( subset(difference(esk3_0,esk4_0),esk5_0)
& subset(difference(esk4_0,esk3_0),esk5_0)
& ~ subset(symmetric_difference(esk3_0,esk4_0),esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
fof(c_0_5,plain,
! [X4,X5] : symmetric_difference(X4,X5) = union(difference(X4,X5),difference(X5,X4)),
inference(variable_rename,[status(thm)],[symmetric_difference_defn]) ).
cnf(c_0_6,negated_conjecture,
~ subset(symmetric_difference(esk3_0,esk4_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X6,X7,X8] :
( ~ subset(X6,X7)
| ~ subset(X8,X7)
| subset(union(X6,X8),X7) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union_subset])]) ).
cnf(c_0_9,negated_conjecture,
~ subset(union(difference(esk3_0,esk4_0),difference(esk4_0,esk3_0)),esk5_0),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( subset(union(X1,X3),X2)
| ~ subset(X1,X2)
| ~ subset(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
subset(difference(esk4_0,esk3_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
subset(difference(esk3_0,esk4_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.10/0.32 % Computer : n014.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 2400
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Oct 2 16:29:19 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.44 Running first-order model finding
% 0.16/0.44 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.flX3bozt1s/E---3.1_21938.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22015 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGHSS-FFSF22-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.45 # Starting sh5l with 136s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22022 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGHSS-FFSF22-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Theorem
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 9
% 0.16/0.45 # Removed by relevancy pruning/SinE : 0
% 0.16/0.45 # Initial clauses : 18
% 0.16/0.45 # Removed in clause preprocessing : 3
% 0.16/0.45 # Initial clauses in saturation : 15
% 0.16/0.45 # Processed clauses : 24
% 0.16/0.45 # ...of these trivial : 1
% 0.16/0.45 # ...subsumed : 0
% 0.16/0.45 # ...remaining for further processing : 23
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 0
% 0.16/0.45 # Generated clauses : 3
% 0.16/0.45 # ...of the previous two non-redundant : 0
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 3
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Total rewrite steps : 2
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 9
% 0.16/0.45 # Positive orientable unit clauses : 3
% 0.16/0.45 # Positive unorientable unit clauses: 1
% 0.16/0.45 # Negative unit clauses : 1
% 0.16/0.45 # Non-unit-clauses : 4
% 0.16/0.45 # Current number of unprocessed clauses: 5
% 0.16/0.45 # ...number of literals in the above : 14
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 15
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 6
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 6
% 0.16/0.45 # Non-unit clause-clause subsumptions : 0
% 0.16/0.45 # Unit Clause-clause subsumption calls : 0
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 5
% 0.16/0.45 # BW rewrite match successes : 4
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 995
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.006 s
% 0.16/0.45 # System time : 0.001 s
% 0.16/0.45 # Total time : 0.006 s
% 0.16/0.45 # Maximum resident set size: 1748 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.016 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.019 s
% 0.16/0.45 # Maximum resident set size: 1680 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------