TSTP Solution File: SET014-2 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 19:17:53 EDT 2023
% Result : Unsatisfiable 16.66s 2.68s
% Output : CNFRefutation 16.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 7 unt; 7 nHn; 15 RR)
% Number of literals : 39 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(membership_in_subsets,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',membership_in_subsets) ).
cnf(b_subset_of_c,hypothesis,
subset(bs,cs),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',b_subset_of_c) ).
cnf(member_of_union_is_member_of_one_set,axiom,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',member_of_union_is_member_of_one_set) ).
cnf(subsets_axiom1,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',subsets_axiom1) ).
cnf(a_subset_of_c,hypothesis,
subset(as,cs),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',a_subset_of_c) ).
cnf(subsets_axiom2,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',subsets_axiom2) ).
cnf(prove_a_union_b_subset_of_c,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox/tmp/tmp.XtyCi5CS1u/E---3.1_1902.p',prove_a_union_b_subset_of_c) ).
cnf(c_0_7,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
membership_in_subsets ).
cnf(c_0_8,hypothesis,
subset(bs,cs),
b_subset_of_c ).
cnf(c_0_9,axiom,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
member_of_union_is_member_of_one_set ).
cnf(c_0_10,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
subsets_axiom1 ).
cnf(c_0_11,hypothesis,
subset(as,cs),
a_subset_of_c ).
cnf(c_0_12,hypothesis,
( member(X1,cs)
| ~ member(X1,bs) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( subset(union(X1,X2),X3)
| member(member_of_1_not_of_2(union(X1,X2),X3),X1)
| member(member_of_1_not_of_2(union(X1,X2),X3),X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
( member(X1,cs)
| ~ member(X1,as) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_15,hypothesis,
( subset(union(X1,bs),X2)
| member(member_of_1_not_of_2(union(X1,bs),X2),cs)
| member(member_of_1_not_of_2(union(X1,bs),X2),X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
subsets_axiom2 ).
cnf(c_0_17,hypothesis,
( subset(union(as,bs),X1)
| member(member_of_1_not_of_2(union(as,bs),X1),cs) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ subset(union(as,bs),cs),
prove_a_union_b_subset_of_c ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET014-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 2400
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Oct 2 17:52:05 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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.XtyCi5CS1u/E---3.1_1902.p
% 16.66/2.68 # Version: 3.1pre001
% 16.66/2.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 16.66/2.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.66/2.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.66/2.68 # Starting new_bool_3 with 300s (1) cores
% 16.66/2.68 # Starting new_bool_1 with 300s (1) cores
% 16.66/2.68 # Starting sh5l with 300s (1) cores
% 16.66/2.68 # sh5l with pid 1984 completed with status 0
% 16.66/2.68 # Result found by sh5l
% 16.66/2.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 16.66/2.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.66/2.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.66/2.68 # Starting new_bool_3 with 300s (1) cores
% 16.66/2.68 # Starting new_bool_1 with 300s (1) cores
% 16.66/2.68 # Starting sh5l with 300s (1) cores
% 16.66/2.68 # SinE strategy is gf500_gu_R04_F100_L20000
% 16.66/2.68 # Search class: FGUNF-FFSF22-SFFFFFNN
% 16.66/2.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 16.66/2.68 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 16.66/2.68 # SAT001_MinMin_p005000_rr_RG with pid 2002 completed with status 0
% 16.66/2.68 # Result found by SAT001_MinMin_p005000_rr_RG
% 16.66/2.68 # Preprocessing class: FSMSSMSSSSSNFFN.
% 16.66/2.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.66/2.68 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 16.66/2.68 # Starting new_bool_3 with 300s (1) cores
% 16.66/2.68 # Starting new_bool_1 with 300s (1) cores
% 16.66/2.68 # Starting sh5l with 300s (1) cores
% 16.66/2.68 # SinE strategy is gf500_gu_R04_F100_L20000
% 16.66/2.68 # Search class: FGUNF-FFSF22-SFFFFFNN
% 16.66/2.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 16.66/2.68 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 16.66/2.68 # Preprocessing time : 0.001 s
% 16.66/2.68 # Presaturation interreduction done
% 16.66/2.68
% 16.66/2.68 # Proof found!
% 16.66/2.68 # SZS status Unsatisfiable
% 16.66/2.68 # SZS output start CNFRefutation
% See solution above
% 16.66/2.68 # Parsed axioms : 24
% 16.66/2.68 # Removed by relevancy pruning/SinE : 6
% 16.66/2.68 # Initial clauses : 18
% 16.66/2.68 # Removed in clause preprocessing : 0
% 16.66/2.68 # Initial clauses in saturation : 18
% 16.66/2.68 # Processed clauses : 17276
% 16.66/2.68 # ...of these trivial : 158
% 16.66/2.68 # ...subsumed : 13927
% 16.66/2.68 # ...remaining for further processing : 3191
% 16.66/2.68 # Other redundant clauses eliminated : 0
% 16.66/2.68 # Clauses deleted for lack of memory : 0
% 16.66/2.68 # Backward-subsumed : 86
% 16.66/2.68 # Backward-rewritten : 23
% 16.66/2.68 # Generated clauses : 213188
% 16.66/2.68 # ...of the previous two non-redundant : 201743
% 16.66/2.68 # ...aggressively subsumed : 0
% 16.66/2.68 # Contextual simplify-reflections : 54
% 16.66/2.68 # Paramodulations : 212980
% 16.66/2.68 # Factorizations : 208
% 16.66/2.68 # NegExts : 0
% 16.66/2.68 # Equation resolutions : 0
% 16.66/2.68 # Total rewrite steps : 31903
% 16.66/2.68 # Propositional unsat checks : 0
% 16.66/2.68 # Propositional check models : 0
% 16.66/2.68 # Propositional check unsatisfiable : 0
% 16.66/2.68 # Propositional clauses : 0
% 16.66/2.68 # Propositional clauses after purity: 0
% 16.66/2.68 # Propositional unsat core size : 0
% 16.66/2.68 # Propositional preprocessing time : 0.000
% 16.66/2.68 # Propositional encoding time : 0.000
% 16.66/2.68 # Propositional solver time : 0.000
% 16.66/2.68 # Success case prop preproc time : 0.000
% 16.66/2.68 # Success case prop encoding time : 0.000
% 16.66/2.68 # Success case prop solver time : 0.000
% 16.66/2.68 # Current number of processed clauses : 3064
% 16.66/2.68 # Positive orientable unit clauses : 389
% 16.66/2.68 # Positive unorientable unit clauses: 0
% 16.66/2.68 # Negative unit clauses : 1
% 16.66/2.68 # Non-unit-clauses : 2674
% 16.66/2.68 # Current number of unprocessed clauses: 184293
% 16.66/2.68 # ...number of literals in the above : 568412
% 16.66/2.68 # Current number of archived formulas : 0
% 16.66/2.68 # Current number of archived clauses : 127
% 16.66/2.68 # Clause-clause subsumption calls (NU) : 609929
% 16.66/2.68 # Rec. Clause-clause subsumption calls : 471382
% 16.66/2.68 # Non-unit clause-clause subsumptions : 14046
% 16.66/2.68 # Unit Clause-clause subsumption calls : 10367
% 16.66/2.68 # Rewrite failures with RHS unbound : 0
% 16.66/2.68 # BW rewrite match attempts : 1617
% 16.66/2.68 # BW rewrite match successes : 15
% 16.66/2.68 # Condensation attempts : 0
% 16.66/2.68 # Condensation successes : 0
% 16.66/2.68 # Termbank termtop insertions : 4365737
% 16.66/2.68
% 16.66/2.68 # -------------------------------------------------
% 16.66/2.68 # User time : 2.001 s
% 16.66/2.68 # System time : 0.120 s
% 16.66/2.68 # Total time : 2.121 s
% 16.66/2.68 # Maximum resident set size: 1628 pages
% 16.66/2.68
% 16.66/2.68 # -------------------------------------------------
% 16.66/2.68 # User time : 2.001 s
% 16.66/2.68 # System time : 0.123 s
% 16.66/2.68 # Total time : 2.124 s
% 16.66/2.68 # Maximum resident set size: 1684 pages
% 16.66/2.68 % E---3.1 exiting
% 16.66/2.68 % E---3.1 exiting
%------------------------------------------------------------------------------