TSTP Solution File: SET204-6 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : Sat May 4 09:22:34 EDT 2024
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 18 ( 8 unt; 0 nHn; 18 RR)
% Number of literals : 31 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_cross_product_property2_2,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
file('/export/starexec/sandbox/tmp/tmp.jy4L6zqX8z/E---3.1_7345.p',prove_cross_product_property2_2) ).
cnf(cartesian_product3,axiom,
( member(ordered_pair(X1,X3),cross_product(X2,X4))
| ~ member(X1,X2)
| ~ member(X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.jy4L6zqX8z/E---3.1_7345.p',cartesian_product3) ).
cnf(cartesian_product2,axiom,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.jy4L6zqX8z/E---3.1_7345.p',cartesian_product2) ).
cnf(prove_cross_product_property2_1,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox/tmp/tmp.jy4L6zqX8z/E---3.1_7345.p',prove_cross_product_property2_1) ).
cnf(cartesian_product1,axiom,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.jy4L6zqX8z/E---3.1_7345.p',cartesian_product1) ).
cnf(c_0_5,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
inference(fof_simplification,[status(thm)],[prove_cross_product_property2_2]) ).
cnf(c_0_6,plain,
( member(ordered_pair(X1,X3),cross_product(X2,X4))
| ~ member(X1,X2)
| ~ member(X3,X4) ),
inference(fof_simplification,[status(thm)],[cartesian_product3]) ).
cnf(c_0_7,plain,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
inference(fof_simplification,[status(thm)],[cartesian_product2]) ).
cnf(c_0_8,negated_conjecture,
~ member(ordered_pair(v,u),cross_product(y,x)),
c_0_5 ).
cnf(c_0_9,plain,
( member(ordered_pair(X1,X3),cross_product(X2,X4))
| ~ member(X1,X2)
| ~ member(X3,X4) ),
c_0_6 ).
cnf(c_0_10,plain,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
prove_cross_product_property2_1 ).
cnf(c_0_12,plain,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
inference(fof_simplification,[status(thm)],[cartesian_product1]) ).
cnf(c_0_13,negated_conjecture,
( ~ member(u,x)
| ~ member(v,y) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
member(v,y),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
~ member(u,x),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.11 % Command : run_E %s %d THM
% 0.09/0.31 % Computer : n027.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri May 3 10:51:05 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.jy4L6zqX8z/E---3.1_7345.p
% 0.16/0.45 # Version: 3.1.0
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # new_bool_1 with pid 7424 completed with status 0
% 0.16/0.45 # Result found by new_bool_1
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FHUNF-FFSF22-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # SAT001_MinMin_p005000_rr_RG with pid 7426 completed with status 0
% 0.16/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.45 # Search class: FHUNF-FFSF22-SFFFFFNN
% 0.16/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.45 # Preprocessing time : 0.003 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Unsatisfiable
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 114
% 0.16/0.45 # Removed by relevancy pruning/SinE : 109
% 0.16/0.45 # Initial clauses : 5
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 5
% 0.16/0.45 # Processed clauses : 14
% 0.16/0.45 # ...of these trivial : 0
% 0.16/0.45 # ...subsumed : 0
% 0.16/0.45 # ...remaining for further processing : 13
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 1
% 0.16/0.45 # Generated clauses : 5
% 0.16/0.45 # ...of the previous two non-redundant : 4
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 5
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Disequality decompositions : 0
% 0.16/0.45 # Total rewrite steps : 1
% 0.16/0.45 # ...of those cached : 0
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 7
% 0.16/0.45 # Positive orientable unit clauses : 2
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 2
% 0.16/0.45 # Non-unit-clauses : 3
% 0.16/0.45 # Current number of unprocessed clauses: 0
% 0.16/0.45 # ...number of literals in the above : 0
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 6
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 4
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 4
% 0.16/0.45 # Non-unit clause-clause subsumptions : 0
% 0.16/0.45 # Unit Clause-clause subsumption calls : 1
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 1
% 0.16/0.45 # BW rewrite match successes : 1
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 1098
% 0.16/0.45 # Search garbage collected termcells : 511
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.004 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.006 s
% 0.16/0.45 # Maximum resident set size: 1896 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.007 s
% 0.16/0.45 # System time : 0.004 s
% 0.16/0.45 # Total time : 0.011 s
% 0.16/0.45 # Maximum resident set size: 1792 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------