TSTP Solution File: PUZ027-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n005.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 : Wed Aug 31 18:10:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 73 ( 11 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 156 ( 68 ~; 73 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 16 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f129,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f54,f63,f72,f81,f86,f91,f96,f101,f109,f111,f112,f114,f116,f118,f120,f122,f124,f126,f128]) ).
fof(f128,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f127,plain,
( $false
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f85,f32]) ).
fof(f32,axiom,
! [X2] : ~ answer(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
fof(f85,plain,
( answer(a_and_b_liar)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_12
<=> answer(a_and_b_liar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f126,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f100,f32]) ).
fof(f100,plain,
( answer(a_truthteller_b_liar)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl0_15
<=> answer(a_truthteller_b_liar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f124,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f36,f32]) ).
fof(f36,plain,
( answer(a_normal_b_liar)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_1
<=> answer(a_normal_b_liar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f122,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f53,f32]) ).
fof(f53,plain,
( answer(a_normal_b_truthteller)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_5
<=> answer(a_normal_b_truthteller) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f120,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f95,f32]) ).
fof(f95,plain,
( answer(a_truthteller_b_normal)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_14
<=> answer(a_truthteller_b_normal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f118,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f90,f32]) ).
fof(f90,plain,
( answer(a_and_b_normal)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_13
<=> answer(a_and_b_normal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f116,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f80,f32]) ).
fof(f80,plain,
( answer(a_liar_b_normal)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl0_11
<=> answer(a_liar_b_normal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f114,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f67,f32]) ).
fof(f67,plain,
( answer(a_liar_b_truthteller)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_8
<=> answer(a_liar_b_truthteller) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f112,plain,
( spl0_7
| spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f102,f38,f69,f60]) ).
fof(f60,plain,
( spl0_7
<=> a_truth(truthteller(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_9
<=> a_truth(liar(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f38,plain,
( spl0_2
<=> a_truth(normal(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f102,plain,
( a_truth(liar(a))
| a_truth(truthteller(a))
| spl0_2 ),
inference(resolution,[],[f40,f1]) ).
fof(f1,axiom,
! [X0] :
( a_truth(normal(X0))
| a_truth(liar(X0))
| a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_is_one_type) ).
fof(f40,plain,
( ~ a_truth(normal(a))
| spl0_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f111,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f58,f32]) ).
fof(f58,plain,
( answer(a_and_b_truthteller)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_6
<=> answer(a_and_b_truthteller) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f109,plain,
( spl0_3
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f108,plain,
( $false
| spl0_3
| spl0_4
| spl0_10 ),
inference(subsumption_resolution,[],[f107,f49]) ).
fof(f49,plain,
( ~ a_truth(truthteller(b))
| spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_4
<=> a_truth(truthteller(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f107,plain,
( a_truth(truthteller(b))
| spl0_3
| spl0_10 ),
inference(subsumption_resolution,[],[f106,f44]) ).
fof(f44,plain,
( ~ a_truth(liar(b))
| spl0_3 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_3
<=> a_truth(liar(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f106,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| spl0_10 ),
inference(resolution,[],[f76,f1]) ).
fof(f76,plain,
( ~ a_truth(normal(b))
| spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_10
<=> a_truth(normal(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f101,plain,
( ~ spl0_7
| ~ spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f25,f98,f42,f60]) ).
fof(f25,axiom,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_truthteller_b_liar) ).
fof(f96,plain,
( ~ spl0_10
| spl0_14
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f24,f60,f93,f74]) ).
fof(f24,axiom,
( ~ a_truth(truthteller(a))
| answer(a_truthteller_b_normal)
| ~ a_truth(normal(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_truthteller_b_normal) ).
fof(f91,plain,
( ~ spl0_2
| ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f88,f74,f38]) ).
fof(f27,axiom,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_normal) ).
fof(f86,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f31,f69,f83,f42]) ).
fof(f31,axiom,
( ~ a_truth(liar(a))
| answer(a_and_b_liar)
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_liar) ).
fof(f81,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f30,f78,f74,f69]) ).
fof(f30,axiom,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_normal) ).
fof(f72,plain,
( ~ spl0_4
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f29,f69,f65,f47]) ).
fof(f29,axiom,
( ~ a_truth(liar(a))
| answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
fof(f63,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f23,f60,f56,f47]) ).
fof(f23,axiom,
( ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_and_b_truthteller) ).
fof(f54,plain,
( ~ spl0_4
| ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f51,f38,f47]) ).
fof(f26,axiom,
( answer(a_normal_b_truthteller)
| ~ a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
fof(f45,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f28,f42,f38,f34]) ).
fof(f28,axiom,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_normal_b_liar) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.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 : Tue Aug 30 10:38:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 % (1145)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.53 % (1129)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53 % (1145)First to succeed.
% 0.20/0.53 % (1129)Refutation not found, incomplete strategy% (1129)------------------------------
% 0.20/0.53 % (1129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (1129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (1129)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54 % (1145)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (1145)------------------------------
% 0.20/0.54 % (1145)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (1145)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (1145)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (1145)Memory used [KB]: 5884
% 0.20/0.54 % (1145)Time elapsed: 0.113 s
% 0.20/0.54 % (1145)Instructions burned: 2 (million)
% 0.20/0.54 % (1145)------------------------------
% 0.20/0.54 % (1145)------------------------------
% 0.20/0.54 % (1117)Success in time 0.182 s
%------------------------------------------------------------------------------