TSTP Solution File: PUZ018-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 14:44:55 EDT 2024
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 64 ( 26 unt; 0 def)
% Number of atoms : 165 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 152 ( 51 ~; 101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f227,plain,
$false,
inference(subsumption_resolution,[],[f224,f47]) ).
fof(f47,axiom,
~ on(c,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_off_sunday) ).
fof(f224,plain,
on(c,sunday),
inference(resolution,[],[f221,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ all_on(X0)
| on(c,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_c_on) ).
fof(f221,plain,
all_on(sunday),
inference(subsumption_resolution,[],[f218,f197]) ).
fof(f197,plain,
~ on(b,monday),
inference(subsumption_resolution,[],[f196,f126]) ).
fof(f126,plain,
on(b,sunday),
inference(subsumption_resolution,[],[f125,f42]) ).
fof(f42,axiom,
~ on(a,sunday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_sunday) ).
fof(f125,plain,
( on(b,sunday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f124,f44]) ).
fof(f44,axiom,
~ on(a,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_thursday) ).
fof(f124,plain,
( on(b,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f102,f45]) ).
fof(f45,axiom,
~ on(b,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_thursday) ).
fof(f102,plain,
( on(b,thursday)
| on(b,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(resolution,[],[f82,f21]) ).
fof(f21,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_thursday) ).
fof(f82,plain,
! [X0,X1] :
( same_day(X0,X1)
| on(b,X1)
| on(b,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f41,f14]) ).
fof(f14,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_b) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( same_person(X0,X3)
| same_day(X1,X2)
| on(X3,X2)
| on(X3,X1)
| on(X0,X2)
| on(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_two_off_twice_together) ).
fof(f196,plain,
( ~ on(b,monday)
| ~ on(b,sunday) ),
inference(resolution,[],[f137,f85]) ).
fof(f85,plain,
! [X0] :
( ~ on(X0,tuesday)
| ~ on(X0,monday)
| ~ on(X0,sunday) ),
inference(resolution,[],[f81,f6]) ).
fof(f6,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_follows_sunday) ).
fof(f81,plain,
! [X0,X1] :
( ~ consecutive(X0,monday)
| ~ on(X1,monday)
| ~ on(X1,tuesday)
| ~ on(X1,X0) ),
inference(resolution,[],[f73,f8]) ).
fof(f8,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ consecutive(tuesday,X0)
| ~ consecutive(X1,monday)
| ~ on(X2,monday)
| ~ on(X2,tuesday)
| ~ on(X2,X1) ),
inference(resolution,[],[f40,f7]) ).
fof(f7,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_follows_monday) ).
fof(f40,axiom,
! [X2,X3,X0,X1,X4] :
( ~ consecutive(X1,X2)
| ~ consecutive(X2,X3)
| ~ consecutive(X0,X1)
| ~ on(X4,X1)
| ~ on(X4,X2)
| ~ on(X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_on_for_3_days) ).
fof(f137,plain,
on(b,tuesday),
inference(subsumption_resolution,[],[f136,f43]) ).
fof(f43,axiom,
~ on(a,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_off_tuesday) ).
fof(f136,plain,
( on(b,tuesday)
| on(a,tuesday) ),
inference(subsumption_resolution,[],[f135,f44]) ).
fof(f135,plain,
( on(b,tuesday)
| on(a,thursday)
| on(a,tuesday) ),
inference(subsumption_resolution,[],[f111,f45]) ).
fof(f111,plain,
( on(b,thursday)
| on(b,tuesday)
| on(a,thursday)
| on(a,tuesday) ),
inference(resolution,[],[f82,f30]) ).
fof(f30,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_not_thursday) ).
fof(f218,plain,
( all_on(sunday)
| on(b,monday) ),
inference(resolution,[],[f214,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ all_on(X0)
| on(b,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_b_on) ).
fof(f214,plain,
( all_on(monday)
| all_on(sunday) ),
inference(subsumption_resolution,[],[f212,f43]) ).
fof(f212,plain,
( all_on(monday)
| all_on(sunday)
| on(a,tuesday) ),
inference(resolution,[],[f207,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ all_on(X0)
| on(a,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_a_on) ).
fof(f207,plain,
( all_on(tuesday)
| all_on(monday)
| all_on(sunday) ),
inference(resolution,[],[f206,f62]) ).
fof(f62,plain,
( on(c,wednesday)
| all_on(sunday)
| all_on(monday)
| all_on(tuesday) ),
inference(resolution,[],[f59,f3]) ).
fof(f59,plain,
( all_on(wednesday)
| all_on(tuesday)
| all_on(sunday)
| all_on(monday) ),
inference(subsumption_resolution,[],[f57,f45]) ).
fof(f57,plain,
( all_on(monday)
| all_on(tuesday)
| all_on(sunday)
| all_on(wednesday)
| on(b,thursday) ),
inference(resolution,[],[f54,f2]) ).
fof(f54,plain,
( all_on(thursday)
| all_on(monday)
| all_on(tuesday)
| all_on(sunday)
| all_on(wednesday) ),
inference(subsumption_resolution,[],[f52,f46]) ).
fof(f46,axiom,
~ on(b,saturday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_off_saturday) ).
fof(f52,plain,
( all_on(wednesday)
| all_on(monday)
| all_on(tuesday)
| all_on(sunday)
| all_on(thursday)
| on(b,saturday) ),
inference(resolution,[],[f49,f2]) ).
fof(f49,plain,
( all_on(saturday)
| all_on(wednesday)
| all_on(monday)
| all_on(tuesday)
| all_on(sunday)
| all_on(thursday) ),
inference(subsumption_resolution,[],[f39,f48]) ).
fof(f48,axiom,
~ all_on(friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_all_on_friday) ).
fof(f39,axiom,
( all_on(monday)
| all_on(wednesday)
| all_on(saturday)
| all_on(tuesday)
| all_on(friday)
| all_on(sunday)
| all_on(thursday) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_on_one_day) ).
fof(f206,plain,
~ on(c,wednesday),
inference(subsumption_resolution,[],[f205,f175]) ).
fof(f175,plain,
on(c,tuesday),
inference(subsumption_resolution,[],[f174,f42]) ).
fof(f174,plain,
( on(c,tuesday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f173,f43]) ).
fof(f173,plain,
( on(c,tuesday)
| on(a,tuesday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f151,f47]) ).
fof(f151,plain,
( on(c,tuesday)
| on(c,sunday)
| on(a,tuesday)
| on(a,sunday) ),
inference(resolution,[],[f83,f19]) ).
fof(f19,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sunday_not_tuesday) ).
fof(f83,plain,
! [X0,X1] :
( same_day(X0,X1)
| on(c,X1)
| on(c,X0)
| on(a,X1)
| on(a,X0) ),
inference(resolution,[],[f41,f15]) ).
fof(f15,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f205,plain,
( ~ on(c,wednesday)
| ~ on(c,tuesday) ),
inference(resolution,[],[f180,f92]) ).
fof(f92,plain,
! [X0] :
( ~ on(X0,thursday)
| ~ on(X0,wednesday)
| ~ on(X0,tuesday) ),
inference(resolution,[],[f91,f8]) ).
fof(f91,plain,
! [X0,X1] :
( ~ consecutive(X0,wednesday)
| ~ on(X1,wednesday)
| ~ on(X1,thursday)
| ~ on(X1,X0) ),
inference(resolution,[],[f75,f10]) ).
fof(f10,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_follows_thursday) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ consecutive(thursday,X0)
| ~ consecutive(X1,wednesday)
| ~ on(X2,wednesday)
| ~ on(X2,thursday)
| ~ on(X2,X1) ),
inference(resolution,[],[f40,f9]) ).
fof(f9,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
fof(f180,plain,
on(c,thursday),
inference(subsumption_resolution,[],[f179,f42]) ).
fof(f179,plain,
( on(c,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f178,f44]) ).
fof(f178,plain,
( on(c,thursday)
| on(a,thursday)
| on(a,sunday) ),
inference(subsumption_resolution,[],[f153,f47]) ).
fof(f153,plain,
( on(c,thursday)
| on(c,sunday)
| on(a,thursday)
| on(a,sunday) ),
inference(resolution,[],[f83,f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PUZ018-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n018.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 02:12:58 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (20566)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (20569)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)
% 0.16/0.38 % (20570)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (20571)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (20568)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (20572)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 % (20573)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)
% 0.16/0.38 % (20567)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 Detected minimum model sizes of [1]
% 0.16/0.38 Detected maximum model sizes of [10]
% 0.16/0.38 Detected minimum model sizes of [1]
% 0.16/0.38 Detected maximum model sizes of [10]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected minimum model sizes of [1,1]
% 0.16/0.38 Detected maximum model sizes of [7,7]
% 0.16/0.38 Detected maximum model sizes of [7,7]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [1,1]
% 0.16/0.38 TRYING [2,2]
% 0.16/0.38 TRYING [2,2]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.39 TRYING [3,2]
% 0.16/0.39 TRYING [3,2]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 % (20571)First to succeed.
% 0.16/0.39 TRYING [3,3]
% 0.16/0.39 TRYING [3,3]
% 0.16/0.39 TRYING [5]
% 0.16/0.39 % (20569)Also succeeded, but the first one will report.
% 0.16/0.39 TRYING [5]
% 0.16/0.39 % (20571)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (20571)------------------------------
% 0.16/0.39 % (20571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.39 % (20571)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (20571)Memory used [KB]: 784
% 0.16/0.39 % (20571)Time elapsed: 0.006 s
% 0.16/0.39 % (20571)Instructions burned: 10 (million)
% 0.16/0.39 % (20571)------------------------------
% 0.16/0.39 % (20571)------------------------------
% 0.16/0.39 % (20566)Success in time 0.022 s
%------------------------------------------------------------------------------