TSTP Solution File: PUZ027-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n007.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 18:11:34 EDT 2022
% Result : Unsatisfiable 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 72 ( 10 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 156 ( 68 ~; 74 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f58,f67,f72,f77,f86,f91,f96,f98,f105,f111,f112,f114,f116,f118,f120,f122,f124,f126]) ).
fof(f126,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f90,f32]) ).
fof(f32,axiom,
! [X2] : ~ answer(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
fof(f90,plain,
( answer(a_and_b_liar)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_13
<=> answer(a_and_b_liar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f124,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f95,f32]) ).
fof(f95,plain,
( answer(a_liar_b_normal)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_14
<=> answer(a_liar_b_normal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f122,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f121]) ).
fof(f121,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f81,f32]) ).
fof(f81,plain,
( answer(a_liar_b_truthteller)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_11
<=> answer(a_liar_b_truthteller) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f120,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f40,f32]) ).
fof(f40,plain,
( answer(a_and_b_truthteller)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_2
<=> answer(a_and_b_truthteller) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f118,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f71,f32]) ).
fof(f71,plain,
( answer(a_normal_b_truthteller)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_9
<=> answer(a_normal_b_truthteller) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f116,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f115,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f53,f32]) ).
fof(f53,plain,
( answer(a_and_b_normal)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl0_5
<=> answer(a_and_b_normal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f114,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f62,f32]) ).
fof(f62,plain,
( answer(a_normal_b_liar)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_7
<=> answer(a_normal_b_liar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f112,plain,
( spl0_3
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f107,f83,f47,f42]) ).
fof(f42,plain,
( spl0_3
<=> a_truth(truthteller(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f47,plain,
( spl0_4
<=> a_truth(normal(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f83,plain,
( spl0_12
<=> a_truth(liar(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f107,plain,
( a_truth(truthteller(a))
| spl0_4
| spl0_12 ),
inference(subsumption_resolution,[],[f106,f85]) ).
fof(f85,plain,
( ~ a_truth(liar(a))
| spl0_12 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f106,plain,
( a_truth(liar(a))
| a_truth(truthteller(a))
| spl0_4 ),
inference(resolution,[],[f49,f1]) ).
fof(f1,axiom,
! [X0] :
( a_truth(normal(X0))
| a_truth(truthteller(X0))
| a_truth(liar(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person_is_one_type) ).
fof(f49,plain,
( ~ a_truth(normal(a))
| spl0_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f111,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f76,f32]) ).
fof(f76,plain,
( answer(a_truthteller_b_liar)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl0_10
<=> answer(a_truthteller_b_liar) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f105,plain,
( spl0_1
| spl0_6
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f104]) ).
fof(f104,plain,
( $false
| spl0_1
| spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f103,f36]) ).
fof(f36,plain,
( ~ a_truth(truthteller(b))
| spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_1
<=> a_truth(truthteller(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f103,plain,
( a_truth(truthteller(b))
| spl0_6
| spl0_8 ),
inference(subsumption_resolution,[],[f100,f66]) ).
fof(f66,plain,
( ~ a_truth(liar(b))
| spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_8
<=> a_truth(liar(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f100,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| spl0_6 ),
inference(resolution,[],[f1,f57]) ).
fof(f57,plain,
( ~ a_truth(normal(b))
| spl0_6 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_6
<=> a_truth(normal(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f98,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f97,f55,f42]) ).
fof(f97,plain,
( ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
inference(subsumption_resolution,[],[f24,f32]) ).
fof(f24,axiom,
( ~ a_truth(truthteller(a))
| answer(a_truthteller_b_normal)
| ~ a_truth(normal(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_normal) ).
fof(f96,plain,
( ~ spl0_6
| spl0_14
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f30,f83,f93,f55]) ).
fof(f30,axiom,
( ~ a_truth(liar(a))
| answer(a_liar_b_normal)
| ~ a_truth(normal(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_normal) ).
fof(f91,plain,
( ~ spl0_12
| ~ spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f31,f88,f64,f83]) ).
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(f86,plain,
( spl0_11
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f29,f83,f34,f79]) ).
fof(f29,axiom,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_liar_b_truthteller) ).
fof(f77,plain,
( ~ spl0_8
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f74,f42,f64]) ).
fof(f25,axiom,
( answer(a_truthteller_b_liar)
| ~ a_truth(truthteller(a))
| ~ a_truth(liar(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_truthteller_b_liar) ).
fof(f72,plain,
( ~ spl0_1
| spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f26,f47,f69,f34]) ).
fof(f26,axiom,
( ~ a_truth(normal(a))
| answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_truthteller) ).
fof(f67,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f47,f64,f60]) ).
fof(f28,axiom,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_normal_b_liar) ).
fof(f58,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f27,f55,f51,f47]) ).
fof(f27,axiom,
( ~ a_truth(normal(b))
| answer(a_and_b_normal)
| ~ a_truth(normal(a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_normal) ).
fof(f45,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23,f42,f38,f34]) ).
fof(f23,axiom,
( ~ a_truth(truthteller(a))
| answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_and_b_truthteller) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ027-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 10:23:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.47 % (27699)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.47 % (27699)First to succeed.
% 0.20/0.48 % (27699)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (27699)------------------------------
% 0.20/0.48 % (27699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (27699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (27699)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (27699)Memory used [KB]: 5500
% 0.20/0.48 % (27699)Time elapsed: 0.095 s
% 0.20/0.48 % (27699)Instructions burned: 3 (million)
% 0.20/0.48 % (27699)------------------------------
% 0.20/0.48 % (27699)------------------------------
% 0.20/0.48 % (27676)Success in time 0.129 s
%------------------------------------------------------------------------------