TSTP Solution File: SET839-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:21:02 EDT 2023
% Result : Unsatisfiable 38.92s 5.65s
% Output : CNFRefutation 38.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 6 unt; 6 nHn; 11 RR)
% Number of literals : 40 ( 5 equ; 16 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 41 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__antisym_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NI2gRhe22K/E---3.1_18183.p',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_lessequals(X1,X2,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
file('/export/starexec/sandbox/tmp/tmp.NI2gRhe22K/E---3.1_18183.p',cls_conjecture_1) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/tmp/tmp.NI2gRhe22K/E---3.1_18183.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.NI2gRhe22K/E---3.1_18183.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox/tmp/tmp.NI2gRhe22K/E---3.1_18183.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/tmp/tmp.NI2gRhe22K/E---3.1_18183.p',cls_conjecture_0) ).
cnf(c_0_6,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
cls_Set_Osubset__antisym_0 ).
cnf(c_0_7,negated_conjecture,
( c_lessequals(X1,X2,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
cls_conjecture_1 ).
cnf(c_0_8,negated_conjecture,
( X1 = X2
| ~ c_in(X1,v_S,tc_set(t_a))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).
cnf(c_0_9,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_10,negated_conjecture,
( c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) = X2
| c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| ~ c_in(X2,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1 ).
cnf(c_0_12,negated_conjecture,
( c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)) = c_Main_OsubsetI__1(v_S,X2,tc_set(t_a))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( c_lessequals(v_S,X1,tc_set(tc_set(t_a)))
| c_lessequals(v_S,X2,tc_set(tc_set(t_a)))
| ~ c_in(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),X2,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1 ).
cnf(c_0_15,negated_conjecture,
~ c_lessequals(v_S,c_insert(X1,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))),
cls_conjecture_0 ).
cnf(c_0_16,negated_conjecture,
( c_lessequals(v_S,c_insert(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),X2,tc_set(t_a)),tc_set(tc_set(t_a)))
| c_lessequals(v_S,X1,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
c_lessequals(v_S,X1,tc_set(tc_set(t_a))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.21 % Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.22 % Command : run_E %s %d THM
% 0.19/0.41 % Computer : n015.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 2400
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Mon Oct 2 16:48:46 EDT 2023
% 0.19/0.41 % CPUTime :
% 0.24/0.61 Running first-order theorem proving
% 0.24/0.61 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.NI2gRhe22K/E---3.1_18183.p
% 38.92/5.65 # Version: 3.1pre001
% 38.92/5.65 # Preprocessing class: FMLMSMSMSSSNFFN.
% 38.92/5.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.92/5.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 38.92/5.65 # Starting new_bool_3 with 300s (1) cores
% 38.92/5.65 # Starting new_bool_1 with 300s (1) cores
% 38.92/5.65 # Starting sh5l with 300s (1) cores
% 38.92/5.65 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18263 completed with status 0
% 38.92/5.65 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 38.92/5.65 # Preprocessing class: FMLMSMSMSSSNFFN.
% 38.92/5.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.92/5.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 38.92/5.65 # No SInE strategy applied
% 38.92/5.65 # Search class: FGHSM-SSLM33-MFFFFFNN
% 38.92/5.65 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 38.92/5.65 # Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 38.92/5.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 38.92/5.65 # Starting new_bool_3 with 136s (1) cores
% 38.92/5.65 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 38.92/5.65 # Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 38.92/5.65 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 18274 completed with status 0
% 38.92/5.65 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 38.92/5.65 # Preprocessing class: FMLMSMSMSSSNFFN.
% 38.92/5.65 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.92/5.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 38.92/5.65 # No SInE strategy applied
% 38.92/5.65 # Search class: FGHSM-SSLM33-MFFFFFNN
% 38.92/5.65 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 38.92/5.65 # Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 38.92/5.65 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 38.92/5.65 # Preprocessing time : 0.010 s
% 38.92/5.65 # Presaturation interreduction done
% 38.92/5.65
% 38.92/5.65 # Proof found!
% 38.92/5.65 # SZS status Unsatisfiable
% 38.92/5.65 # SZS output start CNFRefutation
% See solution above
% 38.92/5.65 # Parsed axioms : 1359
% 38.92/5.65 # Removed by relevancy pruning/SinE : 0
% 38.92/5.65 # Initial clauses : 1359
% 38.92/5.65 # Removed in clause preprocessing : 1
% 38.92/5.65 # Initial clauses in saturation : 1358
% 38.92/5.65 # Processed clauses : 14853
% 38.92/5.65 # ...of these trivial : 195
% 38.92/5.65 # ...subsumed : 9588
% 38.92/5.65 # ...remaining for further processing : 5070
% 38.92/5.65 # Other redundant clauses eliminated : 123
% 38.92/5.65 # Clauses deleted for lack of memory : 0
% 38.92/5.65 # Backward-subsumed : 298
% 38.92/5.65 # Backward-rewritten : 265
% 38.92/5.65 # Generated clauses : 100350
% 38.92/5.65 # ...of the previous two non-redundant : 96496
% 38.92/5.65 # ...aggressively subsumed : 0
% 38.92/5.65 # Contextual simplify-reflections : 21
% 38.92/5.65 # Paramodulations : 100184
% 38.92/5.65 # Factorizations : 4
% 38.92/5.65 # NegExts : 0
% 38.92/5.65 # Equation resolutions : 161
% 38.92/5.65 # Total rewrite steps : 28420
% 38.92/5.65 # Propositional unsat checks : 1
% 38.92/5.65 # Propositional check models : 0
% 38.92/5.65 # Propositional check unsatisfiable : 0
% 38.92/5.65 # Propositional clauses : 0
% 38.92/5.65 # Propositional clauses after purity: 0
% 38.92/5.65 # Propositional unsat core size : 0
% 38.92/5.65 # Propositional preprocessing time : 0.000
% 38.92/5.65 # Propositional encoding time : 0.555
% 38.92/5.65 # Propositional solver time : 0.237
% 38.92/5.65 # Success case prop preproc time : 0.000
% 38.92/5.65 # Success case prop encoding time : 0.000
% 38.92/5.65 # Success case prop solver time : 0.000
% 38.92/5.65 # Current number of processed clauses : 3184
% 38.92/5.65 # Positive orientable unit clauses : 329
% 38.92/5.65 # Positive unorientable unit clauses: 0
% 38.92/5.65 # Negative unit clauses : 142
% 38.92/5.65 # Non-unit-clauses : 2713
% 38.92/5.65 # Current number of unprocessed clauses: 83010
% 38.92/5.65 # ...number of literals in the above : 242012
% 38.92/5.65 # Current number of archived formulas : 0
% 38.92/5.65 # Current number of archived clauses : 1886
% 38.92/5.65 # Clause-clause subsumption calls (NU) : 4455272
% 38.92/5.65 # Rec. Clause-clause subsumption calls : 3585901
% 38.92/5.65 # Non-unit clause-clause subsumptions : 5868
% 38.92/5.65 # Unit Clause-clause subsumption calls : 34890
% 38.92/5.65 # Rewrite failures with RHS unbound : 0
% 38.92/5.65 # BW rewrite match attempts : 337
% 38.92/5.65 # BW rewrite match successes : 176
% 38.92/5.65 # Condensation attempts : 0
% 38.92/5.65 # Condensation successes : 0
% 38.92/5.65 # Termbank termtop insertions : 7011911
% 38.92/5.65
% 38.92/5.65 # -------------------------------------------------
% 38.92/5.65 # User time : 4.659 s
% 38.92/5.65 # System time : 0.156 s
% 38.92/5.65 # Total time : 4.815 s
% 38.92/5.65 # Maximum resident set size: 3716 pages
% 38.92/5.65
% 38.92/5.65 # -------------------------------------------------
% 38.92/5.65 # User time : 23.578 s
% 38.92/5.65 # System time : 0.568 s
% 38.92/5.65 # Total time : 24.146 s
% 38.92/5.65 # Maximum resident set size: 2396 pages
% 38.92/5.65 % E---3.1 exiting
% 38.92/5.65 % E---3.1 exiting
%------------------------------------------------------------------------------