TSTP Solution File: SET820-2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.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 19:20:57 EDT 2023
% Result : Unsatisfiable 0.17s 0.45s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 3 nHn; 13 RR)
% Number of literals : 28 ( 4 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 34 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
( c_in(v_x(X2),X2,tc_IntDef_Oint)
| ~ c_in(X1,X2,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p',cls_conjecture_1) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p',cls_Set_OinsertCI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
file('/export/starexec/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p',cls_Set_OinsertE_0) ).
cnf(cls_Set_OemptyE_0,axiom,
~ c_in(X1,c_emptyset,X2),
file('/export/starexec/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p',cls_Set_OemptyE_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( ~ c_in(X1,X2,tc_IntDef_Oint)
| ~ v_P(v_x(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
v_P(v_a),
file('/export/starexec/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p',cls_conjecture_0) ).
cnf(c_0_6,negated_conjecture,
( c_in(v_x(X2),X2,tc_IntDef_Oint)
| ~ c_in(X1,X2,tc_IntDef_Oint) ),
cls_conjecture_1 ).
cnf(c_0_7,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1 ).
cnf(c_0_8,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
cls_Set_OinsertE_0 ).
cnf(c_0_9,negated_conjecture,
c_in(v_x(c_insert(X1,X2,tc_IntDef_Oint)),c_insert(X1,X2,tc_IntDef_Oint),tc_IntDef_Oint),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,axiom,
~ c_in(X1,c_emptyset,X2),
cls_Set_OemptyE_0 ).
cnf(c_0_11,negated_conjecture,
( v_x(c_insert(X1,X2,tc_IntDef_Oint)) = X1
| c_in(v_x(c_insert(X1,X2,tc_IntDef_Oint)),X2,tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ c_in(X1,X2,tc_IntDef_Oint)
| ~ v_P(v_x(X2)) ),
cls_conjecture_2 ).
cnf(c_0_13,negated_conjecture,
v_x(c_insert(X1,c_emptyset,tc_IntDef_Oint)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( ~ v_P(X1)
| ~ c_in(X2,c_insert(X1,c_emptyset,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
v_P(v_a),
cls_conjecture_0 ).
cnf(c_0_16,negated_conjecture,
~ v_P(X1),
inference(spm,[status(thm)],[c_0_14,c_0_9]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_15,c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET820-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 16:42:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.a51QnyNFYB/E---3.1_2656.p
% 0.17/0.45 # Version: 3.1pre001
% 0.17/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # sh5l with pid 2737 completed with status 0
% 0.17/0.45 # Result found by sh5l
% 0.17/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.45 # Search class: FGHSF-FFSF32-SFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.17/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 2743 completed with status 0
% 0.17/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.17/0.45 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.17/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.17/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.45 # Starting sh5l with 300s (1) cores
% 0.17/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.45 # Search class: FGHSF-FFSF32-SFFFFFNN
% 0.17/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.17/0.45 # Preprocessing time : 0.001 s
% 0.17/0.45 # Presaturation interreduction done
% 0.17/0.45
% 0.17/0.45 # Proof found!
% 0.17/0.45 # SZS status Unsatisfiable
% 0.17/0.45 # SZS output start CNFRefutation
% See solution above
% 0.17/0.45 # Parsed axioms : 6
% 0.17/0.45 # Removed by relevancy pruning/SinE : 0
% 0.17/0.45 # Initial clauses : 6
% 0.17/0.45 # Removed in clause preprocessing : 0
% 0.17/0.45 # Initial clauses in saturation : 6
% 0.17/0.45 # Processed clauses : 19
% 0.17/0.45 # ...of these trivial : 0
% 0.17/0.45 # ...subsumed : 0
% 0.17/0.45 # ...remaining for further processing : 19
% 0.17/0.45 # Other redundant clauses eliminated : 0
% 0.17/0.45 # Clauses deleted for lack of memory : 0
% 0.17/0.45 # Backward-subsumed : 3
% 0.17/0.45 # Backward-rewritten : 0
% 0.17/0.45 # Generated clauses : 18
% 0.17/0.45 # ...of the previous two non-redundant : 14
% 0.17/0.45 # ...aggressively subsumed : 0
% 0.17/0.45 # Contextual simplify-reflections : 0
% 0.17/0.45 # Paramodulations : 17
% 0.17/0.45 # Factorizations : 0
% 0.17/0.45 # NegExts : 0
% 0.17/0.45 # Equation resolutions : 0
% 0.17/0.45 # Total rewrite steps : 3
% 0.17/0.45 # Propositional unsat checks : 0
% 0.17/0.45 # Propositional check models : 0
% 0.17/0.45 # Propositional check unsatisfiable : 0
% 0.17/0.45 # Propositional clauses : 0
% 0.17/0.45 # Propositional clauses after purity: 0
% 0.17/0.45 # Propositional unsat core size : 0
% 0.17/0.45 # Propositional preprocessing time : 0.000
% 0.17/0.45 # Propositional encoding time : 0.000
% 0.17/0.45 # Propositional solver time : 0.000
% 0.17/0.45 # Success case prop preproc time : 0.000
% 0.17/0.45 # Success case prop encoding time : 0.000
% 0.17/0.45 # Success case prop solver time : 0.000
% 0.17/0.45 # Current number of processed clauses : 9
% 0.17/0.45 # Positive orientable unit clauses : 3
% 0.17/0.45 # Positive unorientable unit clauses: 0
% 0.17/0.45 # Negative unit clauses : 2
% 0.17/0.45 # Non-unit-clauses : 4
% 0.17/0.45 # Current number of unprocessed clauses: 7
% 0.17/0.45 # ...number of literals in the above : 18
% 0.17/0.45 # Current number of archived formulas : 0
% 0.17/0.45 # Current number of archived clauses : 10
% 0.17/0.45 # Clause-clause subsumption calls (NU) : 3
% 0.17/0.45 # Rec. Clause-clause subsumption calls : 2
% 0.17/0.45 # Non-unit clause-clause subsumptions : 0
% 0.17/0.45 # Unit Clause-clause subsumption calls : 4
% 0.17/0.45 # Rewrite failures with RHS unbound : 0
% 0.17/0.45 # BW rewrite match attempts : 0
% 0.17/0.45 # BW rewrite match successes : 0
% 0.17/0.45 # Condensation attempts : 0
% 0.17/0.45 # Condensation successes : 0
% 0.17/0.45 # Termbank termtop insertions : 412
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.002 s
% 0.17/0.45 # System time : 0.001 s
% 0.17/0.45 # Total time : 0.003 s
% 0.17/0.45 # Maximum resident set size: 1640 pages
% 0.17/0.45
% 0.17/0.45 # -------------------------------------------------
% 0.17/0.45 # User time : 0.002 s
% 0.17/0.45 # System time : 0.003 s
% 0.17/0.45 # Total time : 0.005 s
% 0.17/0.45 # Maximum resident set size: 1676 pages
% 0.17/0.45 % E---3.1 exiting
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------