TSTP Solution File: PUZ018_1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 Apr 30 14:44:54 EDT 2024
% Result : Theorem 0.11s 0.35s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 40
% Syntax : Number of formulae : 110 ( 45 unt; 17 typ; 0 def)
% Number of atoms : 221 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 202 ( 74 ~; 120 |; 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 : 9 ( 5 >; 4 *; 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 : 48 ( 48 !; 0 ?; 48 :)
% 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(f368,plain,
$false,
inference(subsumption_resolution,[],[f366,f321]) ).
tff(f321,plain,
~ on(b,monday),
inference(subsumption_resolution,[],[f320,f285]) ).
tff(f285,plain,
on(b,tuesday),
inference(subsumption_resolution,[],[f284,f63]) ).
tff(f63,plain,
~ on(a,tuesday),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
tff(f284,plain,
( on(b,tuesday)
| on(a,tuesday) ),
inference(subsumption_resolution,[],[f283,f64]) ).
tff(f64,plain,
~ on(a,thursday),
inference(cnf_transformation,[],[f44]) ).
tff(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
tff(f283,plain,
( on(b,tuesday)
| on(a,thursday)
| on(a,tuesday) ),
inference(subsumption_resolution,[],[f263,f62]) ).
tff(f62,plain,
~ on(b,thursday),
inference(cnf_transformation,[],[f45]) ).
tff(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
tff(f263,plain,
( on(b,thursday)
| on(b,tuesday)
| on(a,thursday)
| on(a,tuesday) ),
inference(resolution,[],[f140,f84]) ).
tff(f84,plain,
~ same_day(tuesday,thursday),
inference(cnf_transformation,[],[f30]) ).
tff(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
tff(f140,plain,
! [X0: day,X1: day] :
( same_day(X0,X1)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f67,f71]) ).
tff(f71,plain,
~ same_person(a,b),
inference(cnf_transformation,[],[f14]) ).
tff(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
tff(f67,plain,
! [X2: day,X3: person,X0: person,X1: day] :
( same_person(X0,X3)
| same_day(X1,X2)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tff(f41,axiom,
! [X0: person,X1: day,X2: day,X3: person] :
( same_day(X1,X2)
| same_person(X0,X3)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
tff(f320,plain,
( ~ on(b,monday)
| ~ on(b,tuesday) ),
inference(resolution,[],[f319,f304]) ).
tff(f304,plain,
on(b,sunday),
inference(subsumption_resolution,[],[f303,f65]) ).
tff(f65,plain,
~ on(a,sunday),
inference(cnf_transformation,[],[f42]) ).
tff(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
tff(f303,plain,
( on(b,sunday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f302,f64]) ).
tff(f302,plain,
( on(b,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f275,f62]) ).
tff(f275,plain,
( on(b,thursday)
| on(b,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(resolution,[],[f140,f92]) ).
tff(f92,plain,
~ same_day(sunday,thursday),
inference(cnf_transformation,[],[f21]) ).
tff(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
tff(f319,plain,
! [X0: person] :
( ~ on(X0,sunday)
| ~ on(X0,monday)
| ~ on(X0,tuesday) ),
inference(resolution,[],[f318,f98]) ).
tff(f98,plain,
consecutive(sunday,monday),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
tff(f318,plain,
! [X0: person,X1: day] :
( ~ consecutive(X1,monday)
| ~ on(X0,tuesday)
| ~ on(X0,monday)
| ~ on(X0,X1) ),
inference(resolution,[],[f142,f93]) ).
tff(f93,plain,
consecutive(monday,tuesday),
inference(cnf_transformation,[],[f7]) ).
tff(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
tff(f142,plain,
! [X2: day,X0: person,X1: day] :
( ~ consecutive(X1,tuesday)
| ~ on(X0,X2)
| ~ on(X0,tuesday)
| ~ on(X0,X1)
| ~ consecutive(X2,X1) ),
inference(resolution,[],[f68,f95]) ).
tff(f95,plain,
consecutive(tuesday,wednesday),
inference(cnf_transformation,[],[f8]) ).
tff(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
tff(f68,plain,
! [X2: day,X3: day,X0: day,X1: day,X4: person] :
( ~ consecutive(X2,X3)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ on(X4,X2)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
( ~ on(X4,X2)
| ~ on(X4,X1)
| ~ on(X4,X0)
| ~ consecutive(X2,X3)
| ~ consecutive(X1,X2)
| ~ consecutive(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
tff(f40,axiom,
! [X0: day,X1: day,X2: day,X3: day,X4: person] :
~ ( on(X4,X2)
& on(X4,X1)
& on(X4,X0)
& consecutive(X2,X3)
& consecutive(X1,X2)
& consecutive(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
tff(f366,plain,
on(b,monday),
inference(resolution,[],[f361,f103]) ).
tff(f103,plain,
! [X0: day] :
( ~ all_on(X0)
| on(b,X0) ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: day] :
( on(b,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0: day] :
( all_on(X0)
=> on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
tff(f361,plain,
all_on(monday),
inference(subsumption_resolution,[],[f357,f63]) ).
tff(f357,plain,
( all_on(monday)
| on(a,tuesday) ),
inference(resolution,[],[f353,f104]) ).
tff(f104,plain,
! [X0: day] :
( ~ all_on(X0)
| on(a,X0) ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: day] :
( on(a,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: day] :
( all_on(X0)
=> on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
tff(f353,plain,
( all_on(tuesday)
| all_on(monday) ),
inference(resolution,[],[f346,f128]) ).
tff(f128,plain,
( on(c,wednesday)
| all_on(tuesday)
| all_on(monday) ),
inference(resolution,[],[f123,f102]) ).
tff(f102,plain,
! [X0: day] :
( ~ all_on(X0)
| on(c,X0) ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: day] :
( on(c,X0)
| ~ all_on(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: day] :
( all_on(X0)
=> on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
tff(f123,plain,
( all_on(wednesday)
| all_on(monday)
| all_on(tuesday) ),
inference(subsumption_resolution,[],[f120,f64]) ).
tff(f120,plain,
( all_on(tuesday)
| all_on(monday)
| all_on(wednesday)
| on(a,thursday) ),
inference(resolution,[],[f117,f104]) ).
tff(f117,plain,
( all_on(thursday)
| all_on(tuesday)
| all_on(monday)
| all_on(wednesday) ),
inference(subsumption_resolution,[],[f114,f65]) ).
tff(f114,plain,
( all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(thursday)
| on(a,sunday) ),
inference(resolution,[],[f112,f104]) ).
tff(f112,plain,
( all_on(sunday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(thursday) ),
inference(subsumption_resolution,[],[f110,f61]) ).
tff(f61,plain,
~ on(b,saturday),
inference(cnf_transformation,[],[f46]) ).
tff(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
tff(f110,plain,
( all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday)
| on(b,saturday) ),
inference(resolution,[],[f107,f103]) ).
tff(f107,plain,
( all_on(saturday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(subsumption_resolution,[],[f66,f59]) ).
tff(f59,plain,
~ all_on(friday),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
~ all_on(friday),
inference(flattening,[],[f49]) ).
tff(f49,negated_conjecture,
~ all_on(friday),
inference(negated_conjecture,[],[f48]) ).
tff(f48,conjecture,
all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
tff(f66,plain,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,axiom,
( all_on(saturday)
| all_on(friday)
| all_on(thursday)
| all_on(wednesday)
| all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).
tff(f346,plain,
~ on(c,wednesday),
inference(subsumption_resolution,[],[f341,f240]) ).
tff(f240,plain,
on(c,tuesday),
inference(subsumption_resolution,[],[f239,f65]) ).
tff(f239,plain,
( on(c,tuesday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f238,f63]) ).
tff(f238,plain,
( on(c,tuesday)
| on(a,tuesday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f222,f60]) ).
tff(f60,plain,
~ on(c,sunday),
inference(cnf_transformation,[],[f47]) ).
tff(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
tff(f222,plain,
( on(c,tuesday)
| on(c,sunday)
| on(a,tuesday)
| on(a,sunday) ),
inference(resolution,[],[f139,f88]) ).
tff(f88,plain,
~ same_day(sunday,tuesday),
inference(cnf_transformation,[],[f19]) ).
tff(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
tff(f139,plain,
! [X0: day,X1: day] :
( same_day(X0,X1)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f67,f70]) ).
tff(f70,plain,
~ same_person(a,c),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
tff(f341,plain,
( ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(resolution,[],[f340,f245]) ).
tff(f245,plain,
on(c,thursday),
inference(subsumption_resolution,[],[f244,f65]) ).
tff(f244,plain,
( on(c,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f243,f64]) ).
tff(f243,plain,
( on(c,thursday)
| on(a,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f224,f60]) ).
tff(f224,plain,
( on(c,thursday)
| on(c,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(resolution,[],[f139,f92]) ).
tff(f340,plain,
! [X0: person] :
( ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,tuesday) ),
inference(resolution,[],[f339,f95]) ).
tff(f339,plain,
! [X0: person,X1: day] :
( ~ consecutive(X1,wednesday)
| ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,X1) ),
inference(resolution,[],[f144,f94]) ).
tff(f94,plain,
consecutive(wednesday,thursday),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f144,plain,
! [X2: day,X0: person,X1: day] :
( ~ consecutive(X1,thursday)
| ~ on(X0,X2)
| ~ on(X0,thursday)
| ~ on(X0,X1)
| ~ consecutive(X2,X1) ),
inference(resolution,[],[f68,f99]) ).
tff(f99,plain,
consecutive(thursday,friday),
inference(cnf_transformation,[],[f10]) ).
tff(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : PUZ018_1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.05/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 02:18:04 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (32068)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (32070)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (32074)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34 % (32075)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34 % (32073)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34 % (32072)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34 % (32071)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.35 Detected minimum model sizes of [1,1]
% 0.11/0.35 Detected maximum model sizes of [3,7]
% 0.11/0.35 TRYING [1,1]
% 0.11/0.35 TRYING [1,2]
% 0.11/0.35 Detected minimum model sizes of [1,1]
% 0.11/0.35 Detected maximum model sizes of [3,7]
% 0.11/0.35 % (32069)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.35 TRYING [1,1]
% 0.11/0.35 Detected minimum model sizes of [1,1]
% 0.11/0.35 Detected maximum model sizes of [3,7]
% 0.11/0.35 TRYING [1,1]
% 0.11/0.35 TRYING [1,3]
% 0.11/0.35 TRYING [1,2]
% 0.11/0.35 TRYING [1,2]
% 0.11/0.35 TRYING [1,4]
% 0.11/0.35 TRYING [2,2]
% 0.11/0.35 TRYING [2,2]
% 0.11/0.35 Detected minimum model sizes of [1,1]
% 0.11/0.35 Detected maximum model sizes of [3,7]
% 0.11/0.35 TRYING [1,1]
% 0.11/0.35 TRYING [1,3]
% 0.11/0.35 TRYING [1,5]
% 0.11/0.35 TRYING [1,3]
% 0.11/0.35 TRYING [1,2]
% 0.11/0.35 TRYING [1,3]
% 0.11/0.35 TRYING [3,2]
% 0.11/0.35 TRYING [3,2]
% 0.11/0.35 % (32073)First to succeed.
% 0.11/0.35 TRYING [1,4]
% 0.11/0.35 TRYING [1,6]
% 0.11/0.35 TRYING [2,3]
% 0.11/0.35 TRYING [2,3]
% 0.11/0.35 TRYING [1,5]
% 0.11/0.35 % (32071)Also succeeded, but the first one will report.
% 0.11/0.35 % (32073)Refutation found. Thanks to Tanya!
% 0.11/0.35 % SZS status Theorem for theBenchmark
% 0.11/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.35 % (32073)------------------------------
% 0.11/0.35 % (32073)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.35 % (32073)Termination reason: Refutation
% 0.11/0.35
% 0.11/0.35 % (32073)Memory used [KB]: 795
% 0.11/0.35 % (32073)Time elapsed: 0.008 s
% 0.11/0.35 % (32073)Instructions burned: 14 (million)
% 0.11/0.35 % (32073)------------------------------
% 0.11/0.35 % (32073)------------------------------
% 0.11/0.35 % (32068)Success in time 0.023 s
%------------------------------------------------------------------------------