%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ018-1 : TPTP v9.2.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n009.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 5 05:02:39 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.73s
% Output : CNFRefutation 1.27s
% 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/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).
cnf(prove_all_on_friday,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
cnf(all_on_c_on,axiom,
( on(c,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
cnf(all_on_b_on,axiom,
( on(b,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
cnf(friday_follows_thursday,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
cnf(b_off_saturday,hypothesis,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
cnf(thursday_follows_wednesday,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
cnf(a_not_c,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.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/benchmark/theBenchmark.p',no_two_off_twice_together) ).
cnf(all_on_a_on,axiom,
( on(a,X1)
| ~ all_on(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
cnf(a_off_tuesday,hypothesis,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
cnf(wednesday_follows_tuesday,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
cnf(c_off_sunday,hypothesis,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
cnf(a_off_sunday,hypothesis,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
cnf(a_off_thursday,hypothesis,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
cnf(tuesday_follows_monday,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
cnf(a_not_b,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
cnf(sunday_not_thursday,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
cnf(monday_follows_sunday,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
cnf(b_off_thursday,hypothesis,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
cnf(tuesday_not_thursday,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
cnf(sunday_not_tuesday,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.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
% 0.00/0.12 % Problem : PUZ018-1 : TPTP v9.2.1. Bugfixed v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:33:26 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.73 % Version : CSE_E---1.7
% 1.27/1.73 % Problem : theBenchmark.p
% 1.27/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.73 % SZS output start CNFRefutation
% See solution above
% 1.27/1.73 % Total time : 1.373s
%------------------------------------------------------------------------------