TSTP Solution File: PUZ026-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ026-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Sun May 5 08:49:38 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 14 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 109 ( 57 ~; 52 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f92,f75]) ).
fof(f75,plain,
a_truth(truthteller(b)),
inference(duplicate_literal_removal,[],[f72]) ).
fof(f72,plain,
( a_truth(truthteller(b))
| a_truth(truthteller(b)) ),
inference(resolution,[],[f68,f47]) ).
fof(f47,plain,
~ a_truth(liar(b)),
inference(subsumption_resolution,[],[f44,f35]) ).
fof(f35,plain,
( ~ a_truth(liar(b))
| a_truth(liar(a)) ),
inference(subsumption_resolution,[],[f34,f30]) ).
fof(f30,plain,
~ a_truth(truthteller(a)),
inference(subsumption_resolution,[],[f27,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ a_truth(normal(X0))
| ~ a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_truthteller_and_normal) ).
fof(f27,plain,
( ~ a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(resolution,[],[f5,f20]) ).
fof(f20,axiom,
a_truth(says(a,normal(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_a_normal) ).
fof(f5,axiom,
! [X0,X1] :
( ~ a_truth(says(X0,X1))
| ~ a_truth(truthteller(X0))
| a_truth(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_tell_truth) ).
fof(f34,plain,
( ~ a_truth(liar(b))
| a_truth(liar(a))
| a_truth(truthteller(a)) ),
inference(resolution,[],[f32,f1]) ).
fof(f1,axiom,
! [X0] :
( a_truth(normal(X0))
| a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_is_one_type) ).
fof(f32,plain,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
inference(resolution,[],[f6,f21]) ).
fof(f21,axiom,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_normal) ).
fof(f6,axiom,
! [X0,X1] :
( ~ a_truth(says(X0,X1))
| ~ a_truth(liar(X0))
| ~ a_truth(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liars_lie) ).
fof(f44,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(resolution,[],[f13,f17]) ).
fof(f17,axiom,
people(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_b_c_are_people) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(liar(X0))
| ~ a_truth(liar(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_liars1) ).
fof(f68,plain,
! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(b))
| a_truth(truthteller(X0)) ),
inference(resolution,[],[f67,f1]) ).
fof(f67,plain,
! [X0] :
( ~ a_truth(normal(X0))
| a_truth(truthteller(b)) ),
inference(resolution,[],[f66,f59]) ).
fof(f59,plain,
( a_truth(liar(a))
| a_truth(truthteller(b)) ),
inference(subsumption_resolution,[],[f58,f30]) ).
fof(f58,plain,
( a_truth(truthteller(b))
| a_truth(liar(a))
| a_truth(truthteller(a)) ),
inference(resolution,[],[f55,f1]) ).
fof(f55,plain,
( ~ a_truth(normal(a))
| a_truth(truthteller(b)) ),
inference(subsumption_resolution,[],[f54,f47]) ).
fof(f54,plain,
( ~ a_truth(normal(a))
| a_truth(liar(b))
| a_truth(truthteller(b)) ),
inference(resolution,[],[f51,f1]) ).
fof(f51,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(resolution,[],[f15,f17]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(normal(X0))
| ~ a_truth(normal(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_normal1) ).
fof(f66,plain,
! [X0,X1] :
( ~ a_truth(liar(X0))
| ~ a_truth(normal(X1)) ),
inference(subsumption_resolution,[],[f65,f23]) ).
fof(f23,axiom,
! [X3,X4,X5] :
( ~ a_truth(truthteller(X5))
| ~ a_truth(liar(X3))
| ~ a_truth(normal(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_of_each) ).
fof(f65,plain,
! [X0,X1] :
( a_truth(truthteller(b))
| ~ a_truth(liar(X0))
| ~ a_truth(normal(X1)) ),
inference(resolution,[],[f61,f23]) ).
fof(f61,plain,
( a_truth(truthteller(c))
| a_truth(truthteller(b)) ),
inference(subsumption_resolution,[],[f60,f47]) ).
fof(f60,plain,
( a_truth(truthteller(c))
| a_truth(liar(b))
| a_truth(truthteller(b)) ),
inference(resolution,[],[f57,f1]) ).
fof(f57,plain,
( ~ a_truth(normal(b))
| a_truth(truthteller(c)) ),
inference(subsumption_resolution,[],[f56,f37]) ).
fof(f37,plain,
~ a_truth(liar(c)),
inference(subsumption_resolution,[],[f36,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ a_truth(normal(X0))
| ~ a_truth(liar(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_liar_and_normal) ).
fof(f36,plain,
( ~ a_truth(liar(c))
| a_truth(normal(c)) ),
inference(resolution,[],[f33,f10]) ).
fof(f10,axiom,
! [X0] :
( a_truth(not_normal(X0))
| a_truth(normal(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normal_or_not_normal) ).
fof(f33,plain,
( ~ a_truth(not_normal(c))
| ~ a_truth(liar(c)) ),
inference(resolution,[],[f6,f22]) ).
fof(f22,axiom,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_c_not_normal) ).
fof(f56,plain,
( ~ a_truth(normal(b))
| a_truth(liar(c))
| a_truth(truthteller(c)) ),
inference(resolution,[],[f52,f1]) ).
fof(f52,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(b)) ),
inference(resolution,[],[f15,f18]) ).
fof(f18,axiom,
people(b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_c_a_are_people) ).
fof(f92,plain,
~ a_truth(truthteller(b)),
inference(resolution,[],[f91,f39]) ).
fof(f39,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
inference(resolution,[],[f11,f18]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(truthteller(X0))
| ~ a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_truthtellers1) ).
fof(f91,plain,
a_truth(truthteller(c)),
inference(subsumption_resolution,[],[f90,f37]) ).
fof(f90,plain,
( a_truth(liar(c))
| a_truth(truthteller(c)) ),
inference(resolution,[],[f88,f1]) ).
fof(f88,plain,
~ a_truth(normal(c)),
inference(subsumption_resolution,[],[f85,f76]) ).
fof(f76,plain,
a_truth(normal(a)),
inference(resolution,[],[f75,f28]) ).
fof(f28,plain,
( ~ a_truth(truthteller(b))
| a_truth(normal(a)) ),
inference(resolution,[],[f5,f21]) ).
fof(f85,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c)) ),
inference(resolution,[],[f16,f17]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(normal(X0))
| ~ a_truth(normal(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_normal2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 18:00:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (5552)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (5558)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (5557)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (5559)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)
% 0.13/0.37 % (5555)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)
% 0.13/0.37 % (5556)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (5554)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (5553)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (5557)First to succeed.
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected minimum model sizes of [1,1]
% 0.13/0.37 Detected maximum model sizes of [max,3]
% 0.13/0.37 Detected maximum model sizes of [max,3]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (5557)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5552"
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [1,1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 TRYING [2,1]
% 0.13/0.37 % (5555)Also succeeded, but the first one will report.
% 0.13/0.37 % (5557)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (5557)------------------------------
% 0.13/0.37 % (5557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.37 % (5557)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (5557)Memory used [KB]: 770
% 0.13/0.37 % (5557)Time elapsed: 0.004 s
% 0.13/0.37 % (5557)Instructions burned: 5 (million)
% 0.13/0.37 % (5552)Success in time 0.011 s
%------------------------------------------------------------------------------