TSTP Solution File: PUZ018-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---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 : n019.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 19:12:40 EDT 2023
% Result : Unsatisfiable 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of clauses : 69 ( 37 unt; 15 nHn; 63 RR)
% Number of literals : 165 ( 0 equ; 72 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 : 42 ( 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/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',all_on_one_day) ).
cnf(prove_all_on_friday,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',prove_all_on_friday) ).
cnf(all_on_c_on,axiom,
( on(c,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',all_on_c_on) ).
cnf(all_on_b_on,axiom,
( on(b,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',all_on_b_on) ).
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/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',not_on_for_3_days) ).
cnf(friday_follows_thursday,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',friday_follows_thursday) ).
cnf(b_off_saturday,hypothesis,
~ on(b,saturday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',b_off_saturday) ).
cnf(thursday_follows_wednesday,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',thursday_follows_wednesday) ).
cnf(a_not_c,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.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/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',no_two_off_twice_together) ).
cnf(all_on_a_on,axiom,
( on(a,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',all_on_a_on) ).
cnf(a_off_tuesday,hypothesis,
~ on(a,tuesday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',a_off_tuesday) ).
cnf(wednesday_follows_tuesday,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',wednesday_follows_tuesday) ).
cnf(c_off_sunday,hypothesis,
~ on(c,sunday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',c_off_sunday) ).
cnf(a_off_sunday,hypothesis,
~ on(a,sunday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',a_off_sunday) ).
cnf(a_off_thursday,hypothesis,
~ on(a,thursday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',a_off_thursday) ).
cnf(tuesday_follows_monday,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',tuesday_follows_monday) ).
cnf(a_not_b,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',a_not_b) ).
cnf(sunday_not_thursday,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',sunday_not_thursday) ).
cnf(monday_follows_sunday,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',monday_follows_sunday) ).
cnf(b_off_thursday,hypothesis,
~ on(b,thursday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',b_off_thursday) ).
cnf(tuesday_not_thursday,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p',tuesday_not_thursday) ).
cnf(sunday_not_tuesday,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox2/tmp/tmp.DdYfIbLfS8/E---3.1_3472.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,
( ~ 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_30,axiom,
consecutive(thursday,friday),
friday_follows_thursday ).
cnf(c_0_31,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_32,hypothesis,
~ on(b,saturday),
b_off_saturday ).
cnf(c_0_33,hypothesis,
( ~ consecutive(X1,thursday)
| ~ consecutive(X2,X1)
| ~ on(X3,thursday)
| ~ on(X3,X1)
| ~ on(X3,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,axiom,
consecutive(wednesday,thursday),
thursday_follows_wednesday ).
cnf(c_0_35,axiom,
~ same_person(a,c),
a_not_c ).
cnf(c_0_36,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_37,axiom,
( on(a,X1)
| ~ all_on(X1) ),
all_on_a_on ).
cnf(c_0_38,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_31]),c_0_32]) ).
cnf(c_0_39,hypothesis,
~ on(a,tuesday),
a_off_tuesday ).
cnf(c_0_40,axiom,
consecutive(tuesday,wednesday),
wednesday_follows_tuesday ).
cnf(c_0_41,hypothesis,
( ~ consecutive(X1,wednesday)
| ~ on(X2,thursday)
| ~ on(X2,wednesday)
| ~ on(X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,hypothesis,
~ on(c,sunday),
c_off_sunday ).
cnf(c_0_43,hypothesis,
( same_day(X1,X2)
| on(a,X1)
| on(a,X2)
| on(c,X1)
| on(c,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_44,hypothesis,
~ on(a,sunday),
a_off_sunday ).
cnf(c_0_45,hypothesis,
( on(c,wednesday)
| on(b,monday)
| all_on(sunday)
| all_on(thursday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_46,hypothesis,
~ on(a,thursday),
a_off_thursday ).
cnf(c_0_47,hypothesis,
( ~ consecutive(X1,tuesday)
| ~ consecutive(X2,X1)
| ~ on(X3,tuesday)
| ~ on(X3,X1)
| ~ on(X3,X2) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]) ).
cnf(c_0_48,axiom,
consecutive(monday,tuesday),
tuesday_follows_monday ).
cnf(c_0_49,axiom,
~ same_person(a,b),
a_not_b ).
cnf(c_0_50,hypothesis,
( ~ on(X1,thursday)
| ~ on(X1,wednesday)
| ~ on(X1,tuesday) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_51,hypothesis,
( same_day(sunday,X1)
| on(c,X1)
| on(a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_52,axiom,
~ same_day(sunday,thursday),
sunday_not_thursday ).
cnf(c_0_53,hypothesis,
( on(b,monday)
| on(c,wednesday)
| all_on(sunday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_45]),c_0_46]) ).
cnf(c_0_54,hypothesis,
( ~ consecutive(X1,monday)
| ~ on(X2,tuesday)
| ~ on(X2,monday)
| ~ on(X2,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,axiom,
consecutive(sunday,monday),
monday_follows_sunday ).
cnf(c_0_56,hypothesis,
~ on(b,thursday),
b_off_thursday ).
cnf(c_0_57,hypothesis,
( same_day(X1,X2)
| on(a,X1)
| on(a,X2)
| on(b,X1)
| on(b,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_58,hypothesis,
( ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_46]) ).
cnf(c_0_59,hypothesis,
( on(c,wednesday)
| on(b,monday) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_53]),c_0_44]) ).
cnf(c_0_60,hypothesis,
( ~ on(X1,tuesday)
| ~ on(X1,monday)
| ~ on(X1,sunday) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_61,hypothesis,
( same_day(X1,thursday)
| on(b,X1)
| on(a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_46]) ).
cnf(c_0_62,axiom,
~ same_day(tuesday,thursday),
tuesday_not_thursday ).
cnf(c_0_63,hypothesis,
( on(b,monday)
| ~ on(c,tuesday) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,axiom,
~ same_day(sunday,tuesday),
sunday_not_tuesday ).
cnf(c_0_65,hypothesis,
( ~ on(b,monday)
| ~ on(b,sunday) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_39]) ).
cnf(c_0_66,hypothesis,
on(b,monday),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_64]),c_0_39]) ).
cnf(c_0_67,hypothesis,
~ on(b,sunday),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66])]) ).
cnf(c_0_68,hypothesis,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_61]),c_0_52]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 18:58:06 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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/tmp/tmp.DdYfIbLfS8/E---3.1_3472.p
% 0.20/0.51 # Version: 3.1pre001
% 0.20/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51 # Starting sh5l with 300s (1) cores
% 0.20/0.51 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3549 completed with status 0
% 0.20/0.51 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.51 # No SInE strategy applied
% 0.20/0.51 # Search class: FGHNS-FFMM00-SFFFFFNN
% 0.20/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.20/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.51 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.51 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.51 # Starting sh5l with 136s (1) cores
% 0.20/0.51 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3554 completed with status 0
% 0.20/0.51 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.51 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.51 # No SInE strategy applied
% 0.20/0.51 # Search class: FGHNS-FFMM00-SFFFFFNN
% 0.20/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.51 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.20/0.51 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.51 # Preprocessing time : 0.001 s
% 0.20/0.51 # Presaturation interreduction done
% 0.20/0.51
% 0.20/0.51 # Proof found!
% 0.20/0.51 # SZS status Unsatisfiable
% 0.20/0.51 # SZS output start CNFRefutation
% See solution above
% 0.20/0.51 # Parsed axioms : 48
% 0.20/0.51 # Removed by relevancy pruning/SinE : 0
% 0.20/0.51 # Initial clauses : 48
% 0.20/0.51 # Removed in clause preprocessing : 0
% 0.20/0.51 # Initial clauses in saturation : 48
% 0.20/0.51 # Processed clauses : 210
% 0.20/0.51 # ...of these trivial : 7
% 0.20/0.51 # ...subsumed : 25
% 0.20/0.51 # ...remaining for further processing : 178
% 0.20/0.51 # Other redundant clauses eliminated : 0
% 0.20/0.51 # Clauses deleted for lack of memory : 0
% 0.20/0.51 # Backward-subsumed : 27
% 0.20/0.51 # Backward-rewritten : 12
% 0.20/0.51 # Generated clauses : 383
% 0.20/0.51 # ...of the previous two non-redundant : 327
% 0.20/0.51 # ...aggressively subsumed : 0
% 0.20/0.51 # Contextual simplify-reflections : 0
% 0.20/0.51 # Paramodulations : 377
% 0.20/0.51 # Factorizations : 6
% 0.20/0.51 # NegExts : 0
% 0.20/0.51 # Equation resolutions : 0
% 0.20/0.51 # Total rewrite steps : 71
% 0.20/0.51 # Propositional unsat checks : 0
% 0.20/0.51 # Propositional check models : 0
% 0.20/0.51 # Propositional check unsatisfiable : 0
% 0.20/0.51 # Propositional clauses : 0
% 0.20/0.51 # Propositional clauses after purity: 0
% 0.20/0.51 # Propositional unsat core size : 0
% 0.20/0.51 # Propositional preprocessing time : 0.000
% 0.20/0.51 # Propositional encoding time : 0.000
% 0.20/0.51 # Propositional solver time : 0.000
% 0.20/0.51 # Success case prop preproc time : 0.000
% 0.20/0.51 # Success case prop encoding time : 0.000
% 0.20/0.51 # Success case prop solver time : 0.000
% 0.20/0.51 # Current number of processed clauses : 91
% 0.20/0.51 # Positive orientable unit clauses : 13
% 0.20/0.51 # Positive unorientable unit clauses: 0
% 0.20/0.51 # Negative unit clauses : 32
% 0.20/0.51 # Non-unit-clauses : 46
% 0.20/0.51 # Current number of unprocessed clauses: 176
% 0.20/0.51 # ...number of literals in the above : 994
% 0.20/0.51 # Current number of archived formulas : 0
% 0.20/0.51 # Current number of archived clauses : 87
% 0.20/0.51 # Clause-clause subsumption calls (NU) : 804
% 0.20/0.51 # Rec. Clause-clause subsumption calls : 255
% 0.20/0.51 # Non-unit clause-clause subsumptions : 33
% 0.20/0.51 # Unit Clause-clause subsumption calls : 185
% 0.20/0.51 # Rewrite failures with RHS unbound : 0
% 0.20/0.51 # BW rewrite match attempts : 28
% 0.20/0.51 # BW rewrite match successes : 4
% 0.20/0.51 # Condensation attempts : 0
% 0.20/0.51 # Condensation successes : 0
% 0.20/0.51 # Termbank termtop insertions : 5156
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.015 s
% 0.20/0.51 # System time : 0.002 s
% 0.20/0.51 # Total time : 0.017 s
% 0.20/0.51 # Maximum resident set size: 1664 pages
% 0.20/0.51
% 0.20/0.51 # -------------------------------------------------
% 0.20/0.51 # User time : 0.057 s
% 0.20/0.51 # System time : 0.009 s
% 0.20/0.51 # Total time : 0.066 s
% 0.20/0.51 # Maximum resident set size: 1700 pages
% 0.20/0.51 % E---3.1 exiting
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