TSTP Solution File: PUZ018-1 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 19:11:39 EDT 2023
% Result : Unsatisfiable 0.22s 0.54s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 67 ( 37 unt; 15 nHn; 61 RR)
% Number of literals : 157 ( 0 equ; 64 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 38 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(all_on_one_day,hypothesis,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',all_on_one_day) ).
cnf(prove_all_on_friday,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',prove_all_on_friday) ).
cnf(all_on_c_on,axiom,
( on(c,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',all_on_c_on) ).
cnf(all_on_b_on,axiom,
( on(b,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',all_on_b_on) ).
cnf(b_off_saturday,hypothesis,
~ on(b,saturday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',b_off_saturday) ).
cnf(not_on_for_3_days,hypothesis,
( ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ consecutive(X3,X4)
| ~ on(X5,X1)
| ~ on(X5,X2)
| ~ on(X5,X3) ),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',not_on_for_3_days) ).
cnf(friday_follows_thursday,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',friday_follows_thursday) ).
cnf(a_not_c,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',a_not_c) ).
cnf(no_two_off_twice_together,hypothesis,
( on(X1,X2)
| on(X1,X3)
| on(X4,X2)
| on(X4,X3)
| same_person(X1,X4)
| same_day(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',no_two_off_twice_together) ).
cnf(all_on_a_on,axiom,
( on(a,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',all_on_a_on) ).
cnf(a_off_tuesday,hypothesis,
~ on(a,tuesday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',a_off_tuesday) ).
cnf(wednesday_follows_tuesday,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',wednesday_follows_tuesday) ).
cnf(thursday_follows_wednesday,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',thursday_follows_wednesday) ).
cnf(c_off_sunday,hypothesis,
~ on(c,sunday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',c_off_sunday) ).
cnf(a_off_sunday,hypothesis,
~ on(a,sunday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',a_off_sunday) ).
cnf(a_off_thursday,hypothesis,
~ on(a,thursday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',a_off_thursday) ).
cnf(a_not_b,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',a_not_b) ).
cnf(sunday_not_thursday,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',sunday_not_thursday) ).
cnf(monday_follows_sunday,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',monday_follows_sunday) ).
cnf(tuesday_follows_monday,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',tuesday_follows_monday) ).
cnf(b_off_thursday,hypothesis,
~ on(b,thursday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',b_off_thursday) ).
cnf(tuesday_not_thursday,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',tuesday_not_thursday) ).
cnf(sunday_not_tuesday,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/tmp/tmp.EhnfvYDX1w/E---3.1_8858.p',sunday_not_tuesday) ).
cnf(c_0_23,hypothesis,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
all_on_one_day ).
cnf(c_0_24,negated_conjecture,
~ all_on(friday),
prove_all_on_friday ).
cnf(c_0_25,axiom,
( on(c,X1)
| ~ all_on(X1) ),
all_on_c_on ).
cnf(c_0_26,hypothesis,
( all_on(saturday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(sr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,axiom,
( on(b,X1)
| ~ all_on(X1) ),
all_on_b_on ).
cnf(c_0_28,hypothesis,
( on(c,wednesday)
| all_on(saturday)
| all_on(thursday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,hypothesis,
( on(c,wednesday)
| on(b,monday)
| all_on(sunday)
| all_on(tuesday)
| all_on(thursday)
| all_on(saturday) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,hypothesis,
~ on(b,saturday),
b_off_saturday ).
cnf(c_0_31,hypothesis,
( ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ consecutive(X3,X4)
| ~ on(X5,X1)
| ~ on(X5,X2)
| ~ on(X5,X3) ),
not_on_for_3_days ).
cnf(c_0_32,axiom,
consecutive(thursday,friday),
friday_follows_thursday ).
cnf(c_0_33,axiom,
~ same_person(a,c),
a_not_c ).
cnf(c_0_34,hypothesis,
( on(X1,X2)
| on(X1,X3)
| on(X4,X2)
| on(X4,X3)
| same_person(X1,X4)
| same_day(X2,X3) ),
no_two_off_twice_together ).
cnf(c_0_35,axiom,
( on(a,X1)
| ~ all_on(X1) ),
all_on_a_on ).
cnf(c_0_36,hypothesis,
( on(b,monday)
| on(c,wednesday)
| all_on(thursday)
| all_on(tuesday)
| all_on(sunday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_29]),c_0_30]) ).
cnf(c_0_37,hypothesis,
~ on(a,tuesday),
a_off_tuesday ).
cnf(c_0_38,hypothesis,
( ~ consecutive(X1,thursday)
| ~ consecutive(X2,X1)
| ~ on(X3,thursday)
| ~ on(X3,X1)
| ~ on(X3,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,axiom,
consecutive(tuesday,wednesday),
wednesday_follows_tuesday ).
cnf(c_0_40,axiom,
consecutive(wednesday,thursday),
thursday_follows_wednesday ).
cnf(c_0_41,hypothesis,
~ on(c,sunday),
c_off_sunday ).
cnf(c_0_42,hypothesis,
( same_day(X1,X2)
| on(a,X1)
| on(a,X2)
| on(c,X1)
| on(c,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_43,hypothesis,
~ on(a,sunday),
a_off_sunday ).
cnf(c_0_44,hypothesis,
( on(c,wednesday)
| on(b,monday)
| all_on(sunday)
| all_on(thursday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_45,hypothesis,
~ on(a,thursday),
a_off_thursday ).
cnf(c_0_46,axiom,
~ same_person(a,b),
a_not_b ).
cnf(c_0_47,hypothesis,
( ~ on(X1,thursday)
| ~ on(X1,wednesday)
| ~ on(X1,tuesday) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_48,hypothesis,
( same_day(sunday,X1)
| on(c,X1)
| on(a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_49,axiom,
~ same_day(sunday,thursday),
sunday_not_thursday ).
cnf(c_0_50,hypothesis,
( on(b,monday)
| on(c,wednesday)
| all_on(sunday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_44]),c_0_45]) ).
cnf(c_0_51,hypothesis,
( ~ consecutive(X1,tuesday)
| ~ consecutive(X2,X1)
| ~ on(X3,tuesday)
| ~ on(X3,X1)
| ~ on(X3,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_39]) ).
cnf(c_0_52,axiom,
consecutive(sunday,monday),
monday_follows_sunday ).
cnf(c_0_53,axiom,
consecutive(monday,tuesday),
tuesday_follows_monday ).
cnf(c_0_54,hypothesis,
~ on(b,thursday),
b_off_thursday ).
cnf(c_0_55,hypothesis,
( same_day(X1,X2)
| on(a,X1)
| on(a,X2)
| on(b,X1)
| on(b,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_34]) ).
cnf(c_0_56,hypothesis,
( ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_45]) ).
cnf(c_0_57,hypothesis,
( on(c,wednesday)
| on(b,monday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_50]),c_0_43]) ).
cnf(c_0_58,hypothesis,
( ~ on(X1,tuesday)
| ~ on(X1,monday)
| ~ on(X1,sunday) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_59,hypothesis,
( same_day(X1,thursday)
| on(b,X1)
| on(a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_45]) ).
cnf(c_0_60,axiom,
~ same_day(tuesday,thursday),
tuesday_not_thursday ).
cnf(c_0_61,hypothesis,
( on(b,monday)
| ~ on(c,tuesday) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,axiom,
~ same_day(sunday,tuesday),
sunday_not_tuesday ).
cnf(c_0_63,hypothesis,
( ~ on(b,monday)
| ~ on(b,sunday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_37]) ).
cnf(c_0_64,hypothesis,
on(b,monday),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48]),c_0_62]),c_0_37]) ).
cnf(c_0_65,hypothesis,
~ on(b,sunday),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_66,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_59]),c_0_49]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 19:14:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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.EhnfvYDX1w/E---3.1_8858.p
% 0.22/0.54 # Version: 3.1pre001
% 0.22/0.54 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54 # Starting sh5l with 300s (1) cores
% 0.22/0.54 # new_bool_3 with pid 8937 completed with status 0
% 0.22/0.54 # Result found by new_bool_3
% 0.22/0.54 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.54 # Search class: FGHNS-FFMM00-SFFFFFNN
% 0.22/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.22/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 8943 completed with status 0
% 0.22/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.22/0.54 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.54 # Search class: FGHNS-FFMM00-SFFFFFNN
% 0.22/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.22/0.54 # Preprocessing time : 0.001 s
% 0.22/0.54 # Presaturation interreduction done
% 0.22/0.54
% 0.22/0.54 # Proof found!
% 0.22/0.54 # SZS status Unsatisfiable
% 0.22/0.54 # SZS output start CNFRefutation
% See solution above
% 0.22/0.54 # Parsed axioms : 48
% 0.22/0.54 # Removed by relevancy pruning/SinE : 0
% 0.22/0.54 # Initial clauses : 48
% 0.22/0.54 # Removed in clause preprocessing : 0
% 0.22/0.54 # Initial clauses in saturation : 48
% 0.22/0.54 # Processed clauses : 274
% 0.22/0.54 # ...of these trivial : 11
% 0.22/0.54 # ...subsumed : 35
% 0.22/0.54 # ...remaining for further processing : 228
% 0.22/0.54 # Other redundant clauses eliminated : 0
% 0.22/0.54 # Clauses deleted for lack of memory : 0
% 0.22/0.54 # Backward-subsumed : 42
% 0.22/0.54 # Backward-rewritten : 16
% 0.22/0.54 # Generated clauses : 539
% 0.22/0.54 # ...of the previous two non-redundant : 472
% 0.22/0.54 # ...aggressively subsumed : 0
% 0.22/0.54 # Contextual simplify-reflections : 0
% 0.22/0.54 # Paramodulations : 533
% 0.22/0.54 # Factorizations : 6
% 0.22/0.54 # NegExts : 0
% 0.22/0.54 # Equation resolutions : 0
% 0.22/0.54 # Total rewrite steps : 97
% 0.22/0.54 # Propositional unsat checks : 0
% 0.22/0.54 # Propositional check models : 0
% 0.22/0.54 # Propositional check unsatisfiable : 0
% 0.22/0.54 # Propositional clauses : 0
% 0.22/0.54 # Propositional clauses after purity: 0
% 0.22/0.54 # Propositional unsat core size : 0
% 0.22/0.54 # Propositional preprocessing time : 0.000
% 0.22/0.54 # Propositional encoding time : 0.000
% 0.22/0.54 # Propositional solver time : 0.000
% 0.22/0.54 # Success case prop preproc time : 0.000
% 0.22/0.54 # Success case prop encoding time : 0.000
% 0.22/0.54 # Success case prop solver time : 0.000
% 0.22/0.54 # Current number of processed clauses : 122
% 0.22/0.54 # Positive orientable unit clauses : 13
% 0.22/0.54 # Positive unorientable unit clauses: 0
% 0.22/0.54 # Negative unit clauses : 32
% 0.22/0.54 # Non-unit-clauses : 77
% 0.22/0.54 # Current number of unprocessed clauses: 238
% 0.22/0.54 # ...number of literals in the above : 1421
% 0.22/0.54 # Current number of archived formulas : 0
% 0.22/0.54 # Current number of archived clauses : 106
% 0.22/0.54 # Clause-clause subsumption calls (NU) : 1394
% 0.22/0.54 # Rec. Clause-clause subsumption calls : 394
% 0.22/0.54 # Non-unit clause-clause subsumptions : 55
% 0.22/0.54 # Unit Clause-clause subsumption calls : 211
% 0.22/0.54 # Rewrite failures with RHS unbound : 0
% 0.22/0.54 # BW rewrite match attempts : 28
% 0.22/0.54 # BW rewrite match successes : 4
% 0.22/0.54 # Condensation attempts : 0
% 0.22/0.54 # Condensation successes : 0
% 0.22/0.54 # Termbank termtop insertions : 7869
% 0.22/0.54
% 0.22/0.54 # -------------------------------------------------
% 0.22/0.54 # User time : 0.017 s
% 0.22/0.54 # System time : 0.002 s
% 0.22/0.54 # Total time : 0.019 s
% 0.22/0.54 # Maximum resident set size: 1640 pages
% 0.22/0.54
% 0.22/0.54 # -------------------------------------------------
% 0.22/0.54 # User time : 0.018 s
% 0.22/0.54 # System time : 0.005 s
% 0.22/0.54 # Total time : 0.022 s
% 0.22/0.54 # Maximum resident set size: 1700 pages
% 0.22/0.54 % E---3.1 exiting
% 0.22/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------