TSTP Solution File: PUZ027-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ027-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 May 21 02:29:02 EDT 2024
% Result : Unsatisfiable 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 32 ( 6 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 85 ( 46 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f64,plain,
$false,
inference(subsumption_resolution,[],[f63,f57]) ).
fof(f57,plain,
~ a_truth(truthteller(a)),
inference(subsumption_resolution,[],[f56,f33]) ).
fof(f33,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(subsumption_resolution,[],[f23,f32]) ).
fof(f32,axiom,
! [X2] : ~ answer(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
fof(f23,axiom,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_truthteller) ).
fof(f56,plain,
( a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(subsumption_resolution,[],[f49,f35]) ).
fof(f35,plain,
( ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
inference(subsumption_resolution,[],[f25,f32]) ).
fof(f25,axiom,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_liar) ).
fof(f49,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(resolution,[],[f1,f34]) ).
fof(f34,plain,
( ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
inference(subsumption_resolution,[],[f24,f32]) ).
fof(f24,axiom,
( answer(a_truthteller_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_normal) ).
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(f63,plain,
a_truth(truthteller(a)),
inference(subsumption_resolution,[],[f62,f53]) ).
fof(f53,plain,
~ a_truth(liar(a)),
inference(subsumption_resolution,[],[f52,f41]) ).
fof(f41,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(subsumption_resolution,[],[f31,f32]) ).
fof(f31,axiom,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_liar) ).
fof(f52,plain,
( a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(subsumption_resolution,[],[f47,f39]) ).
fof(f39,plain,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b)) ),
inference(subsumption_resolution,[],[f29,f32]) ).
fof(f29,axiom,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
fof(f47,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(resolution,[],[f1,f40]) ).
fof(f40,plain,
( ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
inference(subsumption_resolution,[],[f30,f32]) ).
fof(f30,axiom,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_normal) ).
fof(f62,plain,
( a_truth(liar(a))
| a_truth(truthteller(a)) ),
inference(resolution,[],[f55,f1]) ).
fof(f55,plain,
~ a_truth(normal(a)),
inference(subsumption_resolution,[],[f54,f38]) ).
fof(f38,plain,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
inference(subsumption_resolution,[],[f28,f32]) ).
fof(f28,axiom,
( answer(a_normal_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_liar) ).
fof(f54,plain,
( a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(subsumption_resolution,[],[f48,f36]) ).
fof(f36,plain,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
inference(subsumption_resolution,[],[f26,f32]) ).
fof(f26,axiom,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
fof(f48,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(resolution,[],[f1,f37]) ).
fof(f37,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(subsumption_resolution,[],[f27,f32]) ).
fof(f27,axiom,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_normal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ027-1 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 10:23:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (2349)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (2351)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (2350)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (2353)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (2352)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)
% 0.14/0.37 % (2354)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (2356)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)
% 0.14/0.37 % (2355)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37 % (2354)First to succeed.
% 0.20/0.37 % (2354)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2349"
% 0.20/0.37 % (2355)Also succeeded, but the first one will report.
% 0.20/0.37 TRYING [1]
% 0.20/0.37 TRYING [1]
% 0.20/0.37 % (2352)Also succeeded, but the first one will report.
% 0.20/0.37 Detected minimum model sizes of [1,1,1]
% 0.20/0.37 Detected minimum model sizes of [1,1,1]
% 0.20/0.37 Detected maximum model sizes of [max,2,9]
% 0.20/0.37 Detected maximum model sizes of [max,2,9]
% 0.20/0.37 TRYING [1,1,1]
% 0.20/0.37 TRYING [1,1,1]
% 0.20/0.37 % (2354)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (2354)------------------------------
% 0.20/0.37 % (2354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.37 % (2354)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (2354)Memory used [KB]: 771
% 0.20/0.37 % (2354)Time elapsed: 0.004 s
% 0.20/0.37 % (2354)Instructions burned: 3 (million)
% 0.20/0.37 % (2349)Success in time 0.008 s
%------------------------------------------------------------------------------