TSTP Solution File: SET013-4 by E-SAT---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET013-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:56:52 EDT 2024
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 35 ( 12 unt; 3 nHn; 32 RR)
% Number of literals : 72 ( 15 equ; 36 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(extensionality3,axiom,
( X1 = X2
| ~ member(f1(X1,X2),X1)
| ~ member(f1(X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
cnf(intersection3,axiom,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
cnf(intersection_of_b_and_a_is_d,hypothesis,
intersection(bs,as) = ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
cnf(intersection_of_a_and_b_is_c,hypothesis,
intersection(as,bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
cnf(extensionality2,axiom,
( member(f1(X1,X2),X1)
| member(f1(X1,X2),X2)
| X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
cnf(prove_c_equals_d,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(c_0_8,plain,
( X1 = X2
| ~ member(f1(X1,X2),X1)
| ~ member(f1(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[extensionality3]) ).
cnf(c_0_9,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(fof_simplification,[status(thm)],[intersection3]) ).
cnf(c_0_10,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ member(f1(X1,X2),X1)
| ~ member(f1(X1,X2),X2) ),
c_0_8 ).
cnf(c_0_12,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
c_0_9 ).
cnf(c_0_13,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
c_0_10 ).
cnf(c_0_14,hypothesis,
intersection(bs,as) = ds,
intersection_of_b_and_a_is_d ).
cnf(c_0_15,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection1]) ).
cnf(c_0_16,plain,
( X1 = intersection(X2,X3)
| ~ member(f1(X1,intersection(X2,X3)),X1)
| ~ member(f1(X1,intersection(X2,X3)),X3)
| ~ member(f1(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,hypothesis,
intersection(as,bs) = cs,
intersection_of_a_and_b_is_c ).
cnf(c_0_18,hypothesis,
( member(X1,as)
| ~ member(X1,ds) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,axiom,
( member(f1(X1,X2),X1)
| member(f1(X1,X2),X2)
| X1 = X2 ),
extensionality2 ).
cnf(c_0_20,negated_conjecture,
cs != ds,
inference(fof_simplification,[status(thm)],[prove_c_equals_d]) ).
cnf(c_0_21,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
c_0_15 ).
cnf(c_0_22,hypothesis,
( X1 = cs
| ~ member(f1(X1,cs),bs)
| ~ member(f1(X1,cs),as)
| ~ member(f1(X1,cs),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,hypothesis,
( ds = X1
| member(f1(ds,X1),as)
| member(f1(ds,X1),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
cs != ds,
c_0_20 ).
cnf(c_0_25,hypothesis,
( member(X1,bs)
| ~ member(X1,ds) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_26,hypothesis,
( member(f1(ds,cs),cs)
| ~ member(f1(ds,cs),ds) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_27,hypothesis,
member(f1(ds,cs),cs),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_19]),c_0_24]) ).
cnf(c_0_28,hypothesis,
( member(X1,bs)
| ~ member(X1,cs) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_29,hypothesis,
~ member(f1(ds,cs),ds),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_27]),c_0_24]) ).
cnf(c_0_30,hypothesis,
( member(X1,ds)
| ~ member(X1,as)
| ~ member(X1,bs) ),
inference(spm,[status(thm)],[c_0_12,c_0_14]) ).
cnf(c_0_31,hypothesis,
member(f1(ds,cs),bs),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_32,hypothesis,
~ member(f1(ds,cs),as),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_33,hypothesis,
( member(X1,as)
| ~ member(X1,cs) ),
inference(spm,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_34,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET013-4 : TPTP v8.2.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon May 20 11:53:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order model finding
% 0.18/0.46 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 # Version: 3.1.0
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # sh5l with pid 12421 completed with status 0
% 0.18/0.47 # Result found by sh5l
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47 # Search class: FGUSF-FFSF22-SFFFFFNN
% 0.18/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.47 # SAT001_MinMin_p005000_rr_RG with pid 12427 completed with status 0
% 0.18/0.47 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.47 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 # Starting sh5l with 300s (1) cores
% 0.18/0.47 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47 # Search class: FGUSF-FFSF22-SFFFFFNN
% 0.18/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.47 # Preprocessing time : 0.001 s
% 0.18/0.47 # Presaturation interreduction done
% 0.18/0.47
% 0.18/0.47 # Proof found!
% 0.18/0.47 # SZS status Unsatisfiable
% 0.18/0.47 # SZS output start CNFRefutation
% See solution above
% 0.18/0.48 # Parsed axioms : 12
% 0.18/0.48 # Removed by relevancy pruning/SinE : 1
% 0.18/0.48 # Initial clauses : 11
% 0.18/0.48 # Removed in clause preprocessing : 0
% 0.18/0.48 # Initial clauses in saturation : 11
% 0.18/0.48 # Processed clauses : 58
% 0.18/0.48 # ...of these trivial : 0
% 0.18/0.48 # ...subsumed : 9
% 0.18/0.48 # ...remaining for further processing : 49
% 0.18/0.48 # Other redundant clauses eliminated : 0
% 0.18/0.48 # Clauses deleted for lack of memory : 0
% 0.18/0.48 # Backward-subsumed : 0
% 0.18/0.48 # Backward-rewritten : 1
% 0.18/0.48 # Generated clauses : 100
% 0.18/0.48 # ...of the previous two non-redundant : 87
% 0.18/0.48 # ...aggressively subsumed : 0
% 0.18/0.48 # Contextual simplify-reflections : 3
% 0.18/0.48 # Paramodulations : 94
% 0.18/0.48 # Factorizations : 6
% 0.18/0.48 # NegExts : 0
% 0.18/0.48 # Equation resolutions : 0
% 0.18/0.48 # Disequality decompositions : 0
% 0.18/0.48 # Total rewrite steps : 6
% 0.18/0.48 # ...of those cached : 3
% 0.18/0.48 # Propositional unsat checks : 0
% 0.18/0.48 # Propositional check models : 0
% 0.18/0.48 # Propositional check unsatisfiable : 0
% 0.18/0.48 # Propositional clauses : 0
% 0.18/0.48 # Propositional clauses after purity: 0
% 0.18/0.48 # Propositional unsat core size : 0
% 0.18/0.48 # Propositional preprocessing time : 0.000
% 0.18/0.48 # Propositional encoding time : 0.000
% 0.18/0.48 # Propositional solver time : 0.000
% 0.18/0.48 # Success case prop preproc time : 0.000
% 0.18/0.48 # Success case prop encoding time : 0.000
% 0.18/0.48 # Success case prop solver time : 0.000
% 0.18/0.48 # Current number of processed clauses : 37
% 0.18/0.48 # Positive orientable unit clauses : 6
% 0.18/0.48 # Positive unorientable unit clauses: 0
% 0.18/0.48 # Negative unit clauses : 3
% 0.18/0.48 # Non-unit-clauses : 28
% 0.18/0.48 # Current number of unprocessed clauses: 51
% 0.18/0.48 # ...number of literals in the above : 165
% 0.18/0.48 # Current number of archived formulas : 0
% 0.18/0.48 # Current number of archived clauses : 12
% 0.18/0.48 # Clause-clause subsumption calls (NU) : 115
% 0.18/0.48 # Rec. Clause-clause subsumption calls : 106
% 0.18/0.48 # Non-unit clause-clause subsumptions : 12
% 0.18/0.48 # Unit Clause-clause subsumption calls : 23
% 0.18/0.48 # Rewrite failures with RHS unbound : 0
% 0.18/0.48 # BW rewrite match attempts : 1
% 0.18/0.48 # BW rewrite match successes : 1
% 0.18/0.48 # Condensation attempts : 0
% 0.18/0.48 # Condensation successes : 0
% 0.18/0.48 # Termbank termtop insertions : 1511
% 0.18/0.48 # Search garbage collected termcells : 19
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.004 s
% 0.18/0.48 # System time : 0.003 s
% 0.18/0.48 # Total time : 0.007 s
% 0.18/0.48 # Maximum resident set size: 1588 pages
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.004 s
% 0.18/0.48 # System time : 0.006 s
% 0.18/0.48 # Total time : 0.010 s
% 0.18/0.48 # Maximum resident set size: 1696 pages
% 0.18/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------