%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:31:14 PM UTC 2026
% Result : Theorem 2.89s 1.28s
% Output : Refutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 93 ( 50 unt; 0 typ; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 193 ( 80 ~; 105 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 46 ( 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
day: $tType ).
tff(type_def_6,type,
person: $tType ).
tff(func_def_0,type,
a: person ).
tff(func_def_1,type,
b: person ).
tff(func_def_2,type,
c: person ).
tff(func_def_3,type,
monday: day ).
tff(func_def_4,type,
tuesday: day ).
tff(func_def_5,type,
wednesday: day ).
tff(func_def_6,type,
thursday: day ).
tff(func_def_7,type,
friday: day ).
tff(func_def_8,type,
sunday: day ).
tff(func_def_9,type,
saturday: day ).
tff(pred_def_1,type,
all_on: day > $o ).
tff(pred_def_2,type,
on: ( person * day ) > $o ).
tff(pred_def_3,type,
consecutive: ( day * day ) > $o ).
tff(pred_def_4,type,
same_day: ( day * day ) > $o ).
tff(pred_def_5,type,
same_person: ( person * person ) > $o ).
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(f39,axiom,
( 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) ).
tff(f40,axiom,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
~ ( consecutive(X0,X1)
& consecutive(X1,X2)
& consecutive(X2,X3)
& on(X4,X0)
& on(X4,X1)
& on(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(f41,axiom,
! [X0: person,X1: day,X2: day,X3: person] :
( on(X0,X1)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| same_person(X0,X3)
| same_day(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[status(cth)],[f48]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f51,plain,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
( ~ consecutive(X0,X1)
| ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ),
inference(ennf_transformation,[],[f40]) ).
tff(f54,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f55,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f58,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f59,plain,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f60,plain,
! [X2: day,X3: day,X0: day,X1: day,X4: person] :
( ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1)
| ~ on(X4,X0)
| ~ on(X4,X1)
| ~ on(X4,X2) ),
inference(cnf_transformation,[],[f51]) ).
tff(f61,plain,
! [X2: day,X3: person,X0: person,X1: day] :
( same_person(X0,X3)
| on(X0,X2)
| on(X3,X1)
| on(X3,X2)
| on(X0,X1)
| same_day(X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
tff(f62,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f63,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f64,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f65,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f66,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f67,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f68,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f50]) ).
tff(f70,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f54]) ).
tff(f79,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f80,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f86,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f94,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f95,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f96,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f97,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f98,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f101,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f102,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f104,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f55]) ).
tff(f106,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(cnf_transformation,[],[f58]) ).
tff(f107,plain,
~ all_on(sunday),
inference(resolution,[],[f70,f62]) ).
tff(f108,plain,
~ all_on(tuesday),
inference(resolution,[],[f70,f63]) ).
tff(f109,plain,
~ all_on(thursday),
inference(resolution,[],[f70,f64]) ).
tff(f111,plain,
~ all_on(saturday),
inference(resolution,[],[f104,f66]) ).
tff(f135,plain,
( all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
inference(forward_subsumption_resolution,[],[f59,f107]) ).
tff(f136,plain,
( all_on(monday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
inference(forward_subsumption_resolution,[],[f135,f108]) ).
tff(f137,plain,
( all_on(monday)
| all_on(wednesday)
| all_on(friday)
| all_on(saturday) ),
inference(forward_subsumption_resolution,[],[f136,f109]) ).
tff(f138,plain,
( all_on(monday)
| all_on(wednesday)
| all_on(saturday) ),
inference(forward_subsumption_resolution,[],[f137,f68]) ).
tff(f139,plain,
( all_on(wednesday)
| all_on(monday) ),
inference(forward_subsumption_resolution,[],[f138,f111]) ).
tff(f142,plain,
! [X2: person,X0: day,X1: day] :
( ~ consecutive(X1,X0)
| ~ consecutive(X0,tuesday)
| ~ on(X2,X1)
| ~ on(X2,X0)
| ~ on(X2,tuesday) ),
inference(resolution,[],[f60,f96]) ).
tff(f144,plain,
! [X2: person,X0: day,X1: day] :
( ~ consecutive(X1,X0)
| ~ consecutive(X0,thursday)
| ~ on(X2,X1)
| ~ on(X2,X0)
| ~ on(X2,thursday) ),
inference(resolution,[],[f60,f94]) ).
tff(f153,plain,
! [X0: day,X1: day] :
( same_day(X1,X0)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f61,f101]) ).
tff(f154,plain,
! [X0: day,X1: day] :
( same_day(X1,X0)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f61,f102]) ).
tff(f190,plain,
! [X0: person] :
( ~ consecutive(monday,tuesday)
| ~ on(X0,sunday)
| ~ on(X0,monday)
| ~ on(X0,tuesday) ),
inference(resolution,[],[f142,f98]) ).
tff(f196,plain,
! [X0: person] :
( ~ on(X0,sunday)
| ~ on(X0,monday)
| ~ on(X0,tuesday) ),
inference(forward_subsumption_resolution,[],[f190,f97]) ).
tff(f210,plain,
! [X0: person] :
( ~ consecutive(wednesday,thursday)
| ~ on(X0,tuesday)
| ~ on(X0,wednesday)
| ~ on(X0,thursday) ),
inference(resolution,[],[f144,f96]) ).
tff(f220,plain,
! [X0: person] :
( ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,tuesday) ),
inference(forward_subsumption_resolution,[],[f210,f95]) ).
tff(f314,plain,
( on(c,sunday)
| on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(resolution,[],[f153,f80]) ).
tff(f316,plain,
( on(c,sunday)
| on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f153,f86]) ).
tff(f321,plain,
( on(c,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f316,f67]) ).
tff(f323,plain,
( on(c,tuesday)
| on(a,sunday)
| on(a,tuesday) ),
inference(forward_subsumption_resolution,[],[f314,f67]) ).
tff(f336,plain,
( on(c,thursday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f321,f62]) ).
tff(f338,plain,
( on(c,tuesday)
| on(a,tuesday) ),
inference(forward_subsumption_resolution,[],[f323,f62]) ).
tff(f341,plain,
on(c,thursday),
inference(forward_subsumption_resolution,[],[f336,f64]) ).
tff(f342,plain,
on(c,tuesday),
inference(forward_subsumption_resolution,[],[f338,f63]) ).
tff(f350,plain,
( on(b,tuesday)
| on(b,thursday)
| on(a,tuesday)
| on(a,thursday) ),
inference(resolution,[],[f154,f79]) ).
tff(f362,plain,
( on(b,sunday)
| on(b,thursday)
| on(a,sunday)
| on(a,thursday) ),
inference(resolution,[],[f154,f86]) ).
tff(f367,plain,
( on(b,sunday)
| on(a,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f362,f65]) ).
tff(f378,plain,
( on(b,tuesday)
| on(a,tuesday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f350,f65]) ).
tff(f384,plain,
( on(b,sunday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f367,f62]) ).
tff(f390,plain,
( on(b,tuesday)
| on(a,thursday) ),
inference(forward_subsumption_resolution,[],[f378,f63]) ).
tff(f392,plain,
on(b,sunday),
inference(forward_subsumption_resolution,[],[f384,f64]) ).
tff(f394,plain,
on(b,tuesday),
inference(forward_subsumption_resolution,[],[f390,f64]) ).
tff(f404,plain,
( ~ on(b,monday)
| ~ on(b,tuesday) ),
inference(resolution,[],[f196,f392]) ).
tff(f408,plain,
~ on(b,monday),
inference(forward_subsumption_resolution,[],[f404,f394]) ).
tff(f419,plain,
~ all_on(monday),
inference(resolution,[],[f408,f104]) ).
tff(f420,plain,
( ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(resolution,[],[f220,f341]) ).
tff(f425,plain,
~ on(c,wednesday),
inference(forward_subsumption_resolution,[],[f420,f342]) ).
tff(f427,plain,
~ all_on(wednesday),
inference(resolution,[],[f425,f106]) ).
tff(f433,plain,
all_on(monday),
inference(resolution,[],[f427,f139]) ).
tff(f434,plain,
$false,
inference(forward_subsumption_resolution,[],[f433,f419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ018_1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:30:01 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.89/1.28 % (1232696)Detected formulas, will run a generic FOF schedule.
% 2.89/1.28 % (1232702)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3486831055:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.89/1.28 % (1232706)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=370751808:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.89/1.28 % (1232703)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3759824142:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.89/1.28 % (1232704)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1898273610:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.89/1.28 % (1232701)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1710252487:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.89/1.28 % (1232705)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1481004911:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.89/1.28 % (1232705)First to succeed.
% 2.89/1.28 % (1232704)Also succeeded, but the first one will report.
% 2.89/1.28 % (1232705)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1232696"
% 2.89/1.28 % (1232707)dis-21_1_sil=8000:lcm=predicate:random_seed=838084533:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.89/1.28 % (1232707)Also succeeded, but the first one will report.
% 2.89/1.28 % (1232706)Also succeeded, but the first one will report.
% 2.89/1.28 % (1232705)Refutation found. Thanks to Tanya!
% 2.89/1.28 % SZS status Theorem for theBenchmark
% 2.89/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.38 % (1232705)------------------------------
% 3.51/1.38 % (1232705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.38 % (1232705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.38 % (1232705)CaDiCaL version: 2.1.3
% 3.51/1.38 % (1232705)Termination reason: Refutation
% 3.51/1.38 % (1232705)Time elapsed: 0.006 s
% 3.51/1.38 % (1232705)Peak memory usage: 88 MB
% 3.51/1.38 % (1232705)Instructions burned: 9 (million)
% 3.51/1.38 % (1232705)------------------------------
% 3.51/1.38 % (1232705)------------------------------
% 3.51/1.38 % (1232696)Success in time 0.431 s
% 3.51/1.38 % Vampire exiting
%------------------------------------------------------------------------------