%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ018_10 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:55 PM UTC 2026
% Result : Satisfiable 0.22s 0.53s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u141,hypothesis,
all_on(sunday) ).
cnf(u145,hypothesis,
all_on(monday) ).
cnf(u149,hypothesis,
all_on(tuesday) ).
cnf(u153,hypothesis,
all_on(wednesday) ).
cnf(u157,hypothesis,
all_on(thursday) ).
cnf(u162,hypothesis,
~ all_on(friday) ).
cnf(u165,hypothesis,
all_on(saturday) ).
cnf(u246,hypothesis,
~ on(a,monday) ).
cnf(u260,hypothesis,
same_person(b,a) ).
cnf(u263,hypothesis,
( ~ same_day(X0,thursday)
| ~ on(b,X0)
| ~ on(a,X0) ) ).
cnf(u286,hypothesis,
~ on(a,wednesday) ).
cnf(u290,hypothesis,
~ on(b,wednesday) ).
cnf(u309,hypothesis,
~ on(a,friday) ).
cnf(u313,hypothesis,
~ on(b,friday) ).
cnf(u317,hypothesis,
( ~ same_day(friday,X1)
| same_person(X0,c)
| ~ all_on(X1)
| on(a,X1)
| on(b,X1)
| ~ on(X0,friday)
| ~ on(X0,X1) ) ).
cnf(u323,hypothesis,
on(b,monday) ).
cnf(u326,hypothesis,
( ~ same_day(monday,X1)
| same_person(X0,c)
| ~ all_on(X1)
| on(a,X1)
| on(b,X1)
| ~ on(X0,monday)
| ~ on(X0,X1) ) ).
cnf(u330,hypothesis,
~ on(b,sunday) ).
cnf(u334,hypothesis,
~ on(b,tuesday) ).
cnf(u358,hypothesis,
( ~ same_day(wednesday,X0)
| ~ all_on(X0)
| on(a,X0)
| on(b,X0)
| ~ on(X1,wednesday)
| same_person(X1,c)
| ~ on(X1,X0) ) ).
cnf(u361,hypothesis,
~ on(c,monday) ).
cnf(u365,hypothesis,
~ on(c,tuesday) ).
cnf(u382,hypothesis,
~ on(c,thursday) ).
cnf(u395,hypothesis,
on(c,wednesday) ).
cnf(u428,hypothesis,
on(c,saturday) ).
cnf(u497,hypothesis,
same_person(c,a) ).
cnf(u505,hypothesis,
same_person(c,b) ).
cnf(u519,hypothesis,
( same_person(X0,c)
| ~ on(X0,wednesday)
| ~ on(X0,monday) ) ).
cnf(u542,hypothesis,
( ~ same_day(X0,saturday)
| ~ on(c,X0)
| ~ on(b,X0) ) ).
cnf(u623,hypothesis,
( same_person(c,X0)
| on(X0,monday)
| on(X0,tuesday) ) ).
cnf(u688,hypothesis,
~ on(c,friday) ).
cnf(u587,hypothesis,
( ~ on(X1,sunday)
| same_person(X1,X0)
| on(X0,thursday)
| ~ on(X0,sunday)
| ~ on(X1,friday)
| on(X0,wednesday) ) ).
cnf(u209,hypothesis,
( ~ consecutive(X1,monday)
| on(X0,X2)
| on(X0,monday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u104,axiom,
( ~ on(b,X0)
| all_on(X0) ) ).
cnf(u274,hypothesis,
( ~ on(X1,sunday)
| same_person(X1,c)
| ~ on(X1,X0)
| ~ same_day(sunday,X0)
| on(b,X0)
| on(a,X0)
| ~ all_on(X0) ) ).
cnf(u65,axiom,
consecutive(thursday,friday) ).
cnf(u114,axiom,
same_day(sunday,saturday) ).
cnf(u236,hypothesis,
( ~ same_day(X2,monday)
| on(X0,sunday)
| same_person(X1,X0)
| on(X0,tuesday)
| ~ on(X0,X2)
| ~ on(X1,monday)
| ~ on(X1,X2) ) ).
cnf(u424,hypothesis,
( ~ same_day(X2,friday)
| on(X0,thursday)
| same_person(X1,X0)
| on(X0,saturday)
| ~ on(X0,X2)
| ~ on(X1,friday)
| ~ on(X1,X2) ) ).
cnf(u223,hypothesis,
( ~ consecutive(X1,sunday)
| on(X0,monday)
| on(X0,sunday)
| on(X0,X1) ) ).
cnf(u218,hypothesis,
( ~ on(X0,thursday)
| ~ same_day(X1,thursday)
| ~ on(a,X1)
| same_person(X0,a)
| ~ on(X0,X1) ) ).
cnf(u215,hypothesis,
( ~ consecutive(X1,saturday)
| on(X0,X2)
| on(X0,saturday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u128,axiom,
same_day(thursday,saturday) ).
cnf(u110,axiom,
same_day(sunday,tuesday) ).
cnf(u138,hypothesis,
on(c,sunday) ).
cnf(u71,axiom,
~ same_person(b,c) ).
cnf(u112,axiom,
same_day(sunday,thursday) ).
cnf(u582,hypothesis,
( ~ on(X1,sunday)
| same_person(X1,X0)
| on(X0,thursday)
| ~ on(X0,sunday)
| ~ on(X1,wednesday)
| on(X0,tuesday) ) ).
cnf(u122,axiom,
same_day(tuesday,friday) ).
cnf(u390,hypothesis,
( ~ same_day(X2,friday)
| on(X0,wednesday)
| same_person(X1,X0)
| on(X0,thursday)
| ~ on(X0,X2)
| ~ on(X1,friday)
| ~ on(X1,X2) ) ).
cnf(u103,axiom,
( ~ on(a,X0)
| all_on(X0) ) ).
cnf(u105,axiom,
( ~ on(c,X0)
| all_on(X0) ) ).
cnf(u212,hypothesis,
( ~ consecutive(X1,thursday)
| on(X0,X2)
| on(X0,thursday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u129,axiom,
same_day(friday,saturday) ).
cnf(u111,axiom,
same_day(sunday,wednesday) ).
cnf(u68,axiom,
same_person(X0,X0) ).
cnf(u113,axiom,
same_day(sunday,friday) ).
cnf(u596,hypothesis,
( same_person(X1,X0)
| on(X0,thursday)
| on(X0,saturday)
| ~ on(X0,monday)
| ~ on(X1,friday)
| ~ on(X1,monday) ) ).
cnf(u293,hypothesis,
( on(X0,wednesday)
| on(X0,tuesday)
| on(X0,monday) ) ).
cnf(u593,hypothesis,
( ~ on(X1,thursday)
| same_person(X1,X0)
| on(X0,saturday)
| ~ on(X0,thursday)
| ~ on(X1,friday)
| on(X0,sunday) ) ).
cnf(u588,hypothesis,
( ~ on(X1,tuesday)
| same_person(X1,X0)
| on(X0,thursday)
| ~ on(X1,friday)
| on(X0,wednesday) ) ).
cnf(u217,hypothesis,
( ~ same_day(X1,tuesday)
| same_person(X0,a)
| ~ on(a,X1)
| ~ on(X0,tuesday)
| ~ on(X0,X1) ) ).
cnf(u135,hypothesis,
on(a,thursday) ).
cnf(u118,axiom,
same_day(monday,friday) ).
cnf(u220,hypothesis,
( ~ on(X0,saturday)
| ~ same_day(X1,saturday)
| ~ on(b,X1)
| same_person(X0,b)
| ~ on(X0,X1) ) ).
cnf(u137,hypothesis,
on(b,saturday) ).
cnf(u119,axiom,
same_day(monday,saturday) ).
cnf(u219,hypothesis,
( ~ on(X0,thursday)
| ~ same_day(X1,thursday)
| ~ on(b,X1)
| same_person(X0,b)
| ~ on(X0,X1) ) ).
cnf(u537,hypothesis,
( ~ same_day(saturday,X0)
| same_person(X1,c)
| ~ on(X1,X0)
| ~ on(X1,saturday)
| on(b,X0)
| on(a,X0)
| ~ all_on(X0) ) ).
cnf(u232,hypothesis,
( ~ consecutive(X1,wednesday)
| on(X0,thursday)
| on(X0,wednesday)
| on(X0,X1) ) ).
cnf(u242,hypothesis,
( same_person(X0,a)
| ~ on(X0,tuesday)
| ~ on(X0,sunday) ) ).
cnf(u132,hypothesis,
( ~ on(X3,X2)
| same_person(X0,X3)
| ~ same_day(X1,X2)
| ~ on(X3,X1)
| ~ on(X0,X2)
| ~ on(X0,X1) ) ).
cnf(u591,hypothesis,
( ~ on(X1,tuesday)
| same_person(X1,X0)
| on(X0,saturday)
| ~ on(X0,tuesday)
| ~ on(X1,friday)
| on(X0,sunday) ) ).
cnf(u678,hypothesis,
( same_person(c,X0)
| on(X0,thursday)
| ~ on(X0,sunday)
| on(X0,tuesday) ) ).
cnf(u116,axiom,
same_day(monday,wednesday) ).
cnf(u275,hypothesis,
( ~ all_on(X0)
| same_person(X2,c)
| ~ on(X2,X1)
| ~ on(X2,X0)
| on(b,X1)
| on(a,X1)
| ~ all_on(X1)
| on(b,X0)
| on(a,X0)
| ~ same_day(X0,X1) ) ).
cnf(u238,hypothesis,
( ~ consecutive(X1,saturday)
| on(X0,sunday)
| on(X0,saturday)
| on(X0,X1) ) ).
cnf(u535,hypothesis,
( ~ same_day(X1,wednesday)
| same_person(X0,c)
| ~ on(c,X1)
| ~ on(X0,wednesday)
| ~ on(X0,X1) ) ).
cnf(u211,hypothesis,
( ~ consecutive(X1,wednesday)
| on(X0,X2)
| on(X0,wednesday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u106,axiom,
( on(c,X0)
| on(b,X0)
| on(a,X0)
| ~ all_on(X0) ) ).
cnf(u67,axiom,
consecutive(saturday,sunday) ).
cnf(u239,hypothesis,
( ~ consecutive(X1,friday)
| on(X0,saturday)
| on(X0,friday)
| on(X0,X1) ) ).
cnf(u418,hypothesis,
( ~ same_day(X2,friday)
| on(X0,sunday)
| same_person(X1,X0)
| on(X0,saturday)
| ~ on(X0,X2)
| ~ on(X1,friday)
| ~ on(X1,X2) ) ).
cnf(u230,hypothesis,
( ~ same_day(X2,monday)
| on(X0,saturday)
| same_person(X1,X0)
| on(X0,sunday)
| ~ on(X0,X2)
| ~ on(X1,monday)
| ~ on(X1,X2) ) ).
cnf(u595,hypothesis,
( same_person(X1,X0)
| on(X0,sunday)
| on(X0,saturday)
| ~ on(X1,friday)
| ~ on(X1,monday) ) ).
cnf(u580,hypothesis,
( same_person(X1,X0)
| on(X0,tuesday)
| on(X0,thursday)
| ~ on(X0,monday)
| ~ on(X1,wednesday)
| ~ on(X1,monday) ) ).
cnf(u598,hypothesis,
( same_person(X1,X0)
| on(X0,thursday)
| on(X0,saturday)
| ~ on(X0,wednesday)
| ~ on(X1,friday)
| ~ on(X1,wednesday) ) ).
cnf(u379,hypothesis,
( ~ same_day(X2,wednesday)
| on(X0,tuesday)
| same_person(X1,X0)
| on(X0,thursday)
| ~ on(X0,X2)
| ~ on(X1,wednesday)
| ~ on(X1,X2) ) ).
cnf(u237,hypothesis,
( ~ consecutive(X1,thursday)
| on(X0,friday)
| on(X0,thursday)
| on(X0,X1) ) ).
cnf(u294,hypothesis,
( on(X0,wednesday)
| on(X0,thursday)
| on(X0,tuesday) ) ).
cnf(u296,hypothesis,
( on(X0,friday)
| on(X0,saturday)
| on(X0,sunday) ) ).
cnf(u214,hypothesis,
( ~ consecutive(X1,sunday)
| on(X0,X2)
| on(X0,sunday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u131,hypothesis,
( ~ consecutive(X2,X3)
| on(X4,X1)
| on(X4,X0)
| on(X4,X2)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ) ).
cnf(u216,hypothesis,
( ~ same_day(X1,sunday)
| same_person(X0,a)
| ~ on(a,X1)
| ~ on(X0,sunday)
| ~ on(X0,X1) ) ).
cnf(u70,axiom,
~ same_person(a,c) ).
cnf(u226,hypothesis,
( on(X0,monday)
| on(X0,sunday)
| on(X0,saturday) ) ).
cnf(u600,hypothesis,
( ~ on(X1,sunday)
| same_person(X1,X0)
| on(X0,saturday)
| ~ on(X0,sunday)
| ~ on(X1,friday)
| on(X0,thursday) ) ).
cnf(u474,hypothesis,
( ~ on(X1,sunday)
| same_person(X1,X0)
| on(X0,tuesday)
| ~ on(X1,wednesday)
| on(X0,monday) ) ).
cnf(u597,hypothesis,
( ~ on(X1,tuesday)
| same_person(X1,X0)
| on(X0,saturday)
| ~ on(X0,tuesday)
| ~ on(X1,friday)
| on(X0,thursday) ) ).
cnf(u348,hypothesis,
( ~ same_day(X1,monday)
| same_person(X0,b)
| ~ on(b,X1)
| ~ on(X0,monday)
| ~ on(X0,X1) ) ).
cnf(u222,hypothesis,
( ~ on(c,X1)
| ~ same_day(X1,X2)
| same_person(X0,c)
| ~ on(X0,X2)
| ~ on(X0,X1)
| on(b,X2)
| on(a,X2)
| ~ all_on(X2) ) ).
cnf(u115,axiom,
same_day(monday,tuesday) ).
cnf(u224,hypothesis,
( ~ consecutive(X1,monday)
| on(X0,tuesday)
| on(X0,monday)
| on(X0,X1) ) ).
cnf(u123,axiom,
same_day(tuesday,saturday) ).
cnf(u62,axiom,
consecutive(monday,tuesday) ).
cnf(u213,hypothesis,
( ~ consecutive(X1,friday)
| on(X0,X2)
| on(X0,friday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u134,hypothesis,
on(a,tuesday) ).
cnf(u108,axiom,
~ same_day(X0,X0) ).
cnf(u136,hypothesis,
on(b,thursday) ).
cnf(u69,axiom,
~ same_person(a,b) ).
cnf(u225,hypothesis,
( ~ consecutive(X1,tuesday)
| on(X0,wednesday)
| on(X0,tuesday)
| on(X0,X1) ) ).
cnf(u354,hypothesis,
( ~ same_day(X2,wednesday)
| on(X0,monday)
| same_person(X1,X0)
| on(X0,tuesday)
| ~ on(X0,X2)
| ~ on(X1,wednesday)
| ~ on(X1,X2) ) ).
cnf(u120,axiom,
same_day(tuesday,wednesday) ).
cnf(u63,axiom,
consecutive(tuesday,wednesday) ).
cnf(u295,hypothesis,
( on(X0,friday)
| on(X0,thursday)
| on(X0,wednesday) ) ).
cnf(u592,hypothesis,
( same_person(X1,X0)
| on(X0,sunday)
| on(X0,saturday)
| ~ on(X0,wednesday)
| ~ on(X1,friday)
| ~ on(X1,wednesday) ) ).
cnf(u297,hypothesis,
( on(X0,friday)
| on(X0,saturday)
| on(X0,thursday) ) ).
cnf(u121,axiom,
same_day(tuesday,thursday) ).
cnf(u221,hypothesis,
( ~ same_day(X1,sunday)
| same_person(X0,c)
| ~ on(c,X1)
| ~ on(X0,sunday)
| ~ on(X0,X1) ) ).
cnf(u231,hypothesis,
( on(X0,monday)
| on(X0,tuesday)
| on(X0,sunday) ) ).
cnf(u109,axiom,
same_day(sunday,monday) ).
cnf(u126,axiom,
same_day(wednesday,saturday) ).
cnf(u61,axiom,
consecutive(sunday,monday) ).
cnf(u133,hypothesis,
on(a,sunday) ).
cnf(u643,hypothesis,
( same_person(X0,c)
| ~ on(X0,wednesday)
| ~ on(X0,sunday) ) ).
cnf(u210,hypothesis,
( ~ consecutive(X1,tuesday)
| on(X0,X2)
| on(X0,tuesday)
| on(X0,X1)
| ~ consecutive(X2,X1) ) ).
cnf(u117,axiom,
same_day(monday,thursday) ).
cnf(u66,axiom,
consecutive(friday,saturday) ).
cnf(u127,axiom,
same_day(thursday,friday) ).
cnf(u539,hypothesis,
( ~ on(X0,saturday)
| ~ same_day(X1,saturday)
| ~ on(c,X1)
| same_person(X0,c)
| ~ on(X0,X1) ) ).
cnf(u583,hypothesis,
( same_person(X1,X0)
| on(X0,wednesday)
| on(X0,thursday)
| ~ on(X0,monday)
| ~ on(X1,friday)
| ~ on(X1,monday) ) ).
cnf(u124,axiom,
same_day(wednesday,thursday) ).
cnf(u107,axiom,
( ~ same_day(X0,X1)
| all_on(X0)
| all_on(X1) ) ).
cnf(u64,axiom,
consecutive(wednesday,thursday) ).
cnf(u125,axiom,
same_day(wednesday,friday) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ018_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.42 % Computer : n005.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 22:29:46 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.47 Running first-order model finding
% 0.22/0.47 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.53 % (233388)Will run a generic schedule for satisfiability detection.
% 0.22/0.53 % (233394)% WARNING: option uhcvi not known.
% 0.22/0.53 % (233395)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3497854128:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/0.53 % (233394)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=599904569:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/0.53 % (233398)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=882066427:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/0.53 % (233399)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=353029375:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/0.53 % (233397)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2407556099:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/0.53 % (233393)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3377058013_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/0.53 % (233396)dis+10_1_sil=32000:sp=arity:random_seed=2010583109:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/0.53 % Detected minimum model sizes of [1]
% 0.22/0.53 % Detected maximum model sizes of [10]
% 0.22/0.53 % TRYING [1]
% 0.22/0.53 % TRYING [2]
% 0.22/0.53 % TRYING [3]
% 0.22/0.53 % TRYING [4]
% 0.22/0.53 % TRYING [5]
% 0.22/0.53 % (233394) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-233388-233394"...
% 0.22/0.53 % (233398) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-233388-233398"...
% 0.22/0.53 % (233394)...printing done.
% 0.22/0.53 % TRYING [6]
% 0.22/0.53 % SZS status Satisfiable for theBenchmark
% 0.22/0.53 % SZS output start Saturation.
% See solution above
% 0.22/0.53 % SZS output start Definitions and Model Updates.
% 0.22/0.53 globally flip the polarity of every occurrence of predicate "same_day"
% 0.22/0.53 globally flip the polarity of every occurrence of predicate "on"
% 0.22/0.53 globally flip the polarity of every occurrence of predicate "all_on"
% 0.22/0.53 % SZS output end Definitions and Model Updates.
% 0.22/0.53 % (233394)------------------------------
% 0.22/0.53 % (233394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.53 % (233394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.53 % (233394)CaDiCaL version: 2.1.3
% 0.22/0.53 % (233394)Termination reason: Satisfiable
% 0.22/0.53 % (233394)Time elapsed: 0.020 s
% 0.22/0.53 % (233394)Peak memory usage: 12 MB
% 0.22/0.53 % (233394)Instructions burned: 25 (million)
% 0.22/0.53 % (233388)Success in time 0.047 s
% 0.22/0.53 % Vampire exiting
%------------------------------------------------------------------------------