%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ018-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 0.11s 0.45s
% Output : Saturation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u96,axiom,
~ all_on(saturday) ).
cnf(u101,axiom,
all_on(friday) ).
cnf(u104,axiom,
~ all_on(thursday) ).
cnf(u108,axiom,
~ all_on(wednesday) ).
cnf(u112,axiom,
~ all_on(tuesday) ).
cnf(u116,axiom,
~ all_on(monday) ).
cnf(u120,axiom,
~ all_on(sunday) ).
cnf(u195,axiom,
on(c,wednesday) ).
cnf(u198,axiom,
~ on(c,thursday) ).
cnf(u232,axiom,
~ on(a,saturday) ).
cnf(u236,axiom,
~ on(a,friday) ).
cnf(u239,axiom,
on(b,saturday) ).
cnf(u244,axiom,
~ on(b,friday) ).
cnf(u248,axiom,
on(a,thursday) ).
cnf(u252,axiom,
on(b,thursday) ).
cnf(u259,axiom,
~ on(a,wednesday) ).
cnf(u263,axiom,
~ on(b,wednesday) ).
cnf(u269,axiom,
on(a,tuesday) ).
cnf(u274,axiom,
~ on(b,tuesday) ).
cnf(u282,axiom,
~ on(a,monday) ).
cnf(u285,axiom,
on(b,monday) ).
cnf(u294,axiom,
on(a,sunday) ).
cnf(u299,axiom,
~ on(b,sunday) ).
cnf(u361,axiom,
~ on(c,tuesday) ).
cnf(u364,axiom,
on(c,sunday) ).
cnf(u395,axiom,
on(c,saturday) ).
cnf(u401,axiom,
~ on(c,monday) ).
cnf(u410,axiom,
~ on(c,friday) ).
cnf(u58,axiom,
~ consecutive(friday,saturday) ).
cnf(u65,axiom,
same_day(sunday,monday) ).
cnf(u188,axiom,
( on(X0,friday)
| on(X0,thursday)
| on(X0,wednesday) ) ).
cnf(u171,axiom,
( consecutive(X0,monday)
| on(X1,X0)
| on(X1,monday)
| on(X1,tuesday) ) ).
cnf(u71,axiom,
same_day(monday,tuesday) ).
cnf(u156,axiom,
( consecutive(X0,friday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,friday) ) ).
cnf(u73,axiom,
same_day(monday,thursday) ).
cnf(u166,axiom,
( consecutive(X0,sunday)
| on(X1,X0)
| on(X1,sunday)
| on(X1,monday) ) ).
cnf(u83,axiom,
same_day(thursday,friday) ).
cnf(u57,axiom,
~ consecutive(thursday,friday) ).
cnf(u172,axiom,
( on(X0,tuesday)
| on(X0,monday)
| on(X0,sunday) ) ).
cnf(u68,axiom,
same_day(sunday,thursday) ).
cnf(u51,axiom,
( on(c,X0)
| on(a,X0)
| on(b,X0)
| all_on(X0) ) ).
cnf(u91,axiom,
on(b,thursday) ).
cnf(u176,axiom,
( consecutive(X0,tuesday)
| on(X1,X0)
| on(X1,tuesday)
| on(X1,wednesday) ) ).
cnf(u160,axiom,
( ~ same_day(X1,X0)
| ~ on(c,X1)
| ~ on(c,X0)
| ~ on(b,X1)
| ~ on(b,X0) ) ).
cnf(u186,axiom,
( consecutive(X0,thursday)
| on(X1,X0)
| on(X1,thursday)
| on(X1,friday) ) ).
cnf(u76,axiom,
same_day(tuesday,wednesday) ).
cnf(u86,axiom,
( consecutive(X2,X3)
| consecutive(X1,X2)
| consecutive(X0,X1)
| on(X4,X0)
| on(X4,X1)
| on(X4,X2) ) ).
cnf(u60,axiom,
~ same_person(X0,X0) ).
cnf(u88,axiom,
on(a,sunday) ).
cnf(u177,axiom,
( on(X0,wednesday)
| on(X0,tuesday)
| on(X0,monday) ) ).
cnf(u80,axiom,
same_day(wednesday,thursday) ).
cnf(u155,axiom,
( consecutive(X0,thursday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,thursday) ) ).
cnf(u84,axiom,
same_day(thursday,saturday) ).
cnf(u67,axiom,
same_day(sunday,wednesday) ).
cnf(u152,axiom,
( consecutive(X0,monday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,monday) ) ).
cnf(u85,axiom,
same_day(friday,saturday) ).
cnf(u162,axiom,
( on(X0,saturday)
| on(X0,friday)
| on(X0,sunday) ) ).
cnf(u52,axiom,
( ~ same_day(X0,X1)
| ~ all_on(X1)
| ~ all_on(X0) ) ).
cnf(u158,axiom,
( ~ same_day(X1,X0)
| ~ on(b,X1)
| ~ on(b,X0)
| ~ on(a,X1)
| ~ on(a,X0) ) ).
cnf(u75,axiom,
same_day(monday,saturday) ).
cnf(u49,axiom,
( ~ on(b,X0)
| ~ all_on(X0) ) ).
cnf(u93,axiom,
on(c,sunday) ).
cnf(u59,axiom,
~ consecutive(saturday,sunday) ).
cnf(u181,axiom,
( consecutive(X0,wednesday)
| on(X1,X0)
| on(X1,wednesday)
| on(X1,thursday) ) ).
cnf(u70,axiom,
same_day(sunday,saturday) ).
cnf(u159,axiom,
( ~ same_day(X1,X0)
| ~ on(c,X1)
| ~ on(c,X0)
| ~ on(a,X1)
| ~ on(a,X0) ) ).
cnf(u72,axiom,
same_day(monday,wednesday) ).
cnf(u54,axiom,
~ consecutive(monday,tuesday) ).
cnf(u82,axiom,
same_day(wednesday,saturday) ).
cnf(u56,axiom,
~ consecutive(wednesday,thursday) ).
cnf(u157,axiom,
( consecutive(X0,saturday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,saturday) ) ).
cnf(u78,axiom,
same_day(tuesday,friday) ).
cnf(u167,axiom,
( on(X0,saturday)
| on(X0,sunday)
| on(X0,monday) ) ).
cnf(u62,axiom,
same_person(a,c) ).
cnf(u90,axiom,
on(a,thursday) ).
cnf(u69,axiom,
same_day(sunday,friday) ).
cnf(u204,axiom,
( on(X0,saturday)
| on(X0,friday)
| on(X0,thursday) ) ).
cnf(u79,axiom,
same_day(tuesday,saturday) ).
cnf(u53,axiom,
~ consecutive(sunday,monday) ).
cnf(u81,axiom,
same_day(wednesday,friday) ).
cnf(u63,axiom,
same_person(b,c) ).
cnf(u187,axiom,
( consecutive(X0,friday)
| on(X1,X0)
| on(X1,friday)
| on(X1,saturday) ) ).
cnf(u77,axiom,
same_day(tuesday,thursday) ).
cnf(u154,axiom,
( consecutive(X0,wednesday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,wednesday) ) ).
cnf(u87,axiom,
( ~ same_person(X0,X3)
| ~ on(X0,X2)
| ~ on(X3,X1)
| ~ on(X3,X2)
| ~ on(X0,X1)
| ~ same_day(X1,X2) ) ).
cnf(u61,axiom,
same_person(a,b) ).
cnf(u89,axiom,
on(a,tuesday) ).
cnf(u182,axiom,
( on(X0,thursday)
| on(X0,wednesday)
| on(X0,tuesday) ) ).
cnf(u66,axiom,
same_day(sunday,tuesday) ).
cnf(u50,axiom,
( ~ on(c,X0)
| ~ all_on(X0) ) ).
cnf(u55,axiom,
~ consecutive(tuesday,wednesday) ).
cnf(u161,axiom,
( consecutive(X0,saturday)
| on(X1,X0)
| on(X1,saturday)
| on(X1,sunday) ) ).
cnf(u151,axiom,
( consecutive(X0,sunday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,sunday) ) ).
cnf(u64,axiom,
~ same_day(X0,X0) ).
cnf(u153,axiom,
( consecutive(X0,tuesday)
| consecutive(X1,X0)
| on(X2,X1)
| on(X2,X0)
| on(X2,tuesday) ) ).
cnf(u74,axiom,
same_day(monday,friday) ).
cnf(u48,axiom,
( ~ on(a,X0)
| ~ all_on(X0) ) ).
cnf(u92,axiom,
on(b,saturday) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ018-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:30:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (1663835)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (1663842)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=818923042:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (1663841)% WARNING: option uhcvi not known.
% 0.11/0.45 % (1663840)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2111391399_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (1663843)dis+10_1_sil=32000:sp=arity:random_seed=76673757:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (1663844)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2035993803:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (1663845)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1005491915:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (1663846)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3516618820:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (1663841)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2205980701:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % Detected minimum model sizes of [1]
% 0.11/0.45 % Detected maximum model sizes of [10]
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % TRYING [4]
% 0.11/0.45 % TRYING [5]
% 0.11/0.45 % TRYING [6]
% 0.11/0.45 % (1663846) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1663835-1663846"...
% 0.11/0.45 % (1663845) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1663835-1663845"...
% 0.11/0.45 % TRYING [7]
% 0.11/0.45 % (1663846)...printing done.
% 0.11/0.45 % (1663843) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1663835-1663843"...
% 0.11/0.45 % (1663845)...printing done.
% 0.11/0.45 % SZS status Satisfiable for theBenchmark
% 0.11/0.45 % SZS output start Saturation.
% See solution above
% 0.11/0.45 % SZS output start Definitions and Model Updates.
% 0.11/0.45 globally flip the polarity of every occurrence of predicate "same_person"
% 0.11/0.45 globally flip the polarity of every occurrence of predicate "consecutive"
% 0.11/0.45 globally flip the polarity of every occurrence of predicate "same_day"
% 0.11/0.45 globally flip the polarity of every occurrence of predicate "on"
% 0.11/0.45 % SZS output end Definitions and Model Updates.
% 0.11/0.45 % (1663846)------------------------------
% 0.11/0.45 % (1663846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (1663846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (1663846)CaDiCaL version: 2.1.3
% 0.11/0.45 % (1663846)Termination reason: Satisfiable
% 0.11/0.45 % (1663846)Time elapsed: 0.005 s
% 0.11/0.45 % (1663846)Peak memory usage: 11 MB
% 0.11/0.45 % (1663846)Instructions burned: 7 (million)
% 0.11/0.45 % (1663835)Success in time 0.043 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------