TSTP Solution File: PUZ025-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ025-1 : 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 : n006.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 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 151 ( 75 ~; 70 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f66,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f40,f44,f48,f50,f62,f65]) ).
fof(f65,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f64,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f28,f24]) ).
fof(f24,axiom,
! [X6] : ~ answer(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
fof(f28,plain,
( answer(yes)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_1
<=> answer(yes) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f62,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[],[f60,f23]) ).
fof(f23,axiom,
ask_1_if_2(c,equal_type(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).
fof(f60,plain,
( ! [X0,X4] : ~ ask_1_if_2(X0,X4)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f59,f55]) ).
fof(f55,plain,
( ! [X0,X1] :
( ~ ask_1_if_2(X0,X1)
| a_truth(truthteller(X0)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f54,f1]) ).
fof(f1,axiom,
! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).
fof(f54,plain,
( ! [X0,X4] :
( ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f43,f52]) ).
fof(f52,plain,
( ! [X0,X1] :
( ~ ask_1_if_2(X1,X0)
| ~ a_truth(X0) )
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f51,f31]) ).
fof(f31,plain,
( ! [X0,X4] :
( ~ a_truth(truthteller(X0))
| ~ a_truth(X4)
| ~ ask_1_if_2(X0,X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_2
<=> ! [X4,X0] :
( ~ a_truth(X4)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f51,plain,
( ! [X0,X1] :
( ~ a_truth(X0)
| ~ ask_1_if_2(X1,X0)
| a_truth(truthteller(X1)) )
| ~ spl0_4 ),
inference(resolution,[],[f39,f1]) ).
fof(f39,plain,
( ! [X0,X4] :
( ~ a_truth(liar(X0))
| ~ a_truth(X4)
| ~ ask_1_if_2(X0,X4) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_4
<=> ! [X4,X0] :
( ~ a_truth(X4)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f43,plain,
( ! [X0,X4] :
( a_truth(X4)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X4) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_5
<=> ! [X4,X0] :
( a_truth(X4)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f59,plain,
( ! [X0,X4] :
( ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f47,f52]) ).
fof(f47,plain,
( ! [X0,X4] :
( a_truth(X4)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl0_6
<=> ! [X4,X0] :
( a_truth(X4)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f50,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f49]) ).
fof(f49,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f36,f24]) ).
fof(f36,plain,
( answer(no)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_3
<=> answer(no) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f48,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f15,f34,f46]) ).
fof(f15,axiom,
! [X0,X4] :
( answer(no)
| a_truth(X4)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_denies_lies) ).
fof(f44,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f17,f26,f42]) ).
fof(f17,axiom,
! [X0,X4] :
( answer(yes)
| a_truth(X4)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liar_supports_lies) ).
fof(f40,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f16,f38,f34]) ).
fof(f16,axiom,
! [X0,X4] :
( ~ a_truth(X4)
| answer(no)
| ~ a_truth(liar(X0))
| ~ ask_1_if_2(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liar_denies_truths) ).
fof(f32,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f14,f30,f26]) ).
fof(f14,axiom,
! [X0,X4] :
( ~ a_truth(X4)
| answer(yes)
| ~ a_truth(truthteller(X0))
| ~ ask_1_if_2(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_identifies_truths) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : PUZ025-1 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 10:45:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (15237)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (15243)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.35 % (15240)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)
% 0.12/0.36 % (15242)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (15238)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (15243)First to succeed.
% 0.12/0.36 % (15239)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (15241)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36 % (15243)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15237"
% 0.12/0.36 % (15240)Also succeeded, but the first one will report.
% 0.12/0.36 % (15242)Also succeeded, but the first one will report.
% 0.12/0.36 % (15243)Refutation found. Thanks to Tanya!
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.36 % (15243)------------------------------
% 0.12/0.36 % (15243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.36 % (15243)Termination reason: Refutation
% 0.12/0.36
% 0.12/0.36 % (15243)Memory used [KB]: 782
% 0.12/0.36 % (15243)Time elapsed: 0.003 s
% 0.12/0.36 % (15243)Instructions burned: 3 (million)
% 0.12/0.36 % (15237)Success in time 0.008 s
%------------------------------------------------------------------------------