TSTP Solution File: SET009-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n008.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 19:17:50 EDT 2023
% Result : Unsatisfiable 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 30 ( 10 unt; 8 nHn; 27 RR)
% Number of literals : 63 ( 0 equ; 30 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 46 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(member_of_difference_or_set2,axiom,
( member(X1,X4)
| member(X1,X3)
| ~ member(X1,X2)
| ~ difference(X2,X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',member_of_difference_or_set2) ).
cnf(b_minus_d,hypothesis,
difference(b,d,bDd),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',b_minus_d) ).
cnf(membership_in_subsets,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',membership_in_subsets) ).
cnf(d_is_a_subset_of_a,hypothesis,
subset(d,a),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',d_is_a_subset_of_a) ).
cnf(subsets_axiom2,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',subsets_axiom2) ).
cnf(member_of_difference,axiom,
( member(X4,X1)
| ~ difference(X1,X2,X3)
| ~ member(X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',member_of_difference) ).
cnf(b_minus_a,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',b_minus_a) ).
cnf(not_member_of_difference,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ difference(X4,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',not_member_of_difference) ).
cnf(subsets_axiom1,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',subsets_axiom1) ).
cnf(prove_bDa_is_a_subset_of_bDd,negated_conjecture,
~ subset(bDa,bDd),
file('/export/starexec/sandbox/tmp/tmp.8kyNkMicz1/E---3.1_27378.p',prove_bDa_is_a_subset_of_bDd) ).
cnf(c_0_10,axiom,
( member(X1,X4)
| member(X1,X3)
| ~ member(X1,X2)
| ~ difference(X2,X3,X4) ),
member_of_difference_or_set2 ).
cnf(c_0_11,hypothesis,
difference(b,d,bDd),
b_minus_d ).
cnf(c_0_12,axiom,
( member(X1,X3)
| ~ member(X1,X2)
| ~ subset(X2,X3) ),
membership_in_subsets ).
cnf(c_0_13,hypothesis,
subset(d,a),
d_is_a_subset_of_a ).
cnf(c_0_14,axiom,
( subset(X1,X2)
| ~ member(member_of_1_not_of_2(X1,X2),X2) ),
subsets_axiom2 ).
cnf(c_0_15,hypothesis,
( member(X1,d)
| member(X1,bDd)
| ~ member(X1,b) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,axiom,
( member(X4,X1)
| ~ difference(X1,X2,X3)
| ~ member(X4,X3) ),
member_of_difference ).
cnf(c_0_17,hypothesis,
difference(b,a,bDa),
b_minus_a ).
cnf(c_0_18,axiom,
( ~ member(X1,X2)
| ~ member(X1,X3)
| ~ difference(X4,X2,X3) ),
not_member_of_difference ).
cnf(c_0_19,hypothesis,
( member(X1,a)
| ~ member(X1,d) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,hypothesis,
( subset(X1,bDd)
| member(member_of_1_not_of_2(X1,bDd),d)
| ~ member(member_of_1_not_of_2(X1,bDd),b) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,hypothesis,
( member(X1,b)
| ~ member(X1,bDa) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
( subset(X1,X2)
| member(member_of_1_not_of_2(X1,X2),X1) ),
subsets_axiom1 ).
cnf(c_0_23,hypothesis,
( ~ member(X1,bDa)
| ~ member(X1,a) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_24,hypothesis,
( subset(X1,bDd)
| member(member_of_1_not_of_2(X1,bDd),a)
| ~ member(member_of_1_not_of_2(X1,bDd),b) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,hypothesis,
( subset(bDa,X1)
| member(member_of_1_not_of_2(bDa,X1),b) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ subset(bDa,bDd),
prove_bDa_is_a_subset_of_bDd ).
cnf(c_0_27,hypothesis,
( subset(bDa,X1)
| ~ member(member_of_1_not_of_2(bDa,X1),a) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
cnf(c_0_28,hypothesis,
member(member_of_1_not_of_2(bDa,bDd),a),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.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 16:59:43 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.17/0.43 Running first-order theorem proving
% 0.17/0.43 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.8kyNkMicz1/E---3.1_27378.p
% 0.17/0.44 # Version: 3.1pre001
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # sh5l with pid 27459 completed with status 0
% 0.17/0.44 # Result found by sh5l
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.44 # Search class: FGHNF-FFSS32-SFFFFFNN
% 0.17/0.44 # partial match(1): FGHNF-FFSS22-SFFFFFNN
% 0.17/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.44 # SAT001_MinMin_p005000_rr_RG with pid 27462 completed with status 0
% 0.17/0.44 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.44 # Search class: FGHNF-FFSS32-SFFFFFNN
% 0.17/0.44 # partial match(1): FGHNF-FFSS22-SFFFFFNN
% 0.17/0.44 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.44 # Preprocessing time : 0.001 s
% 0.17/0.44 # Presaturation interreduction done
% 0.17/0.44
% 0.17/0.44 # Proof found!
% 0.17/0.44 # SZS status Unsatisfiable
% 0.17/0.44 # SZS output start CNFRefutation
% See solution above
% 0.17/0.44 # Parsed axioms : 16
% 0.17/0.44 # Removed by relevancy pruning/SinE : 0
% 0.17/0.44 # Initial clauses : 16
% 0.17/0.44 # Removed in clause preprocessing : 0
% 0.17/0.44 # Initial clauses in saturation : 16
% 0.17/0.44 # Processed clauses : 126
% 0.17/0.44 # ...of these trivial : 5
% 0.17/0.44 # ...subsumed : 35
% 0.17/0.44 # ...remaining for further processing : 86
% 0.17/0.44 # Other redundant clauses eliminated : 0
% 0.17/0.44 # Clauses deleted for lack of memory : 0
% 0.17/0.44 # Backward-subsumed : 1
% 0.17/0.44 # Backward-rewritten : 0
% 0.17/0.44 # Generated clauses : 165
% 0.17/0.44 # ...of the previous two non-redundant : 141
% 0.17/0.44 # ...aggressively subsumed : 0
% 0.17/0.44 # Contextual simplify-reflections : 2
% 0.17/0.44 # Paramodulations : 153
% 0.17/0.44 # Factorizations : 12
% 0.17/0.44 # NegExts : 0
% 0.17/0.44 # Equation resolutions : 0
% 0.17/0.44 # Total rewrite steps : 9
% 0.17/0.44 # Propositional unsat checks : 0
% 0.17/0.44 # Propositional check models : 0
% 0.17/0.44 # Propositional check unsatisfiable : 0
% 0.17/0.44 # Propositional clauses : 0
% 0.17/0.44 # Propositional clauses after purity: 0
% 0.17/0.44 # Propositional unsat core size : 0
% 0.17/0.44 # Propositional preprocessing time : 0.000
% 0.17/0.44 # Propositional encoding time : 0.000
% 0.17/0.44 # Propositional solver time : 0.000
% 0.17/0.44 # Success case prop preproc time : 0.000
% 0.17/0.44 # Success case prop encoding time : 0.000
% 0.17/0.44 # Success case prop solver time : 0.000
% 0.17/0.44 # Current number of processed clauses : 69
% 0.17/0.44 # Positive orientable unit clauses : 11
% 0.17/0.44 # Positive unorientable unit clauses: 0
% 0.17/0.44 # Negative unit clauses : 1
% 0.17/0.44 # Non-unit-clauses : 57
% 0.17/0.44 # Current number of unprocessed clauses: 47
% 0.17/0.44 # ...number of literals in the above : 131
% 0.17/0.44 # Current number of archived formulas : 0
% 0.17/0.44 # Current number of archived clauses : 17
% 0.17/0.44 # Clause-clause subsumption calls (NU) : 903
% 0.17/0.44 # Rec. Clause-clause subsumption calls : 746
% 0.17/0.44 # Non-unit clause-clause subsumptions : 38
% 0.17/0.44 # Unit Clause-clause subsumption calls : 15
% 0.17/0.44 # Rewrite failures with RHS unbound : 0
% 0.17/0.44 # BW rewrite match attempts : 4
% 0.17/0.44 # BW rewrite match successes : 0
% 0.17/0.44 # Condensation attempts : 0
% 0.17/0.44 # Condensation successes : 0
% 0.17/0.44 # Termbank termtop insertions : 2705
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.005 s
% 0.17/0.44 # System time : 0.001 s
% 0.17/0.44 # Total time : 0.006 s
% 0.17/0.44 # Maximum resident set size: 1632 pages
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.006 s
% 0.17/0.44 # System time : 0.001 s
% 0.17/0.44 # Total time : 0.008 s
% 0.17/0.44 # Maximum resident set size: 1684 pages
% 0.17/0.44 % E---3.1 exiting
% 0.17/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------