TSTP Solution File: PUZ026-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ026-1 : 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 : n001.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 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 27
% Syntax : Number of formulae : 91 ( 7 unt; 0 def)
% Number of atoms : 209 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 212 ( 94 ~; 106 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 13 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f186,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f60,f76,f101,f118,f122,f126,f140,f149,f156,f157,f159,f166,f179,f182,f183,f185]) ).
fof(f185,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f49,f26]) ).
fof(f26,plain,
( ! [X5] : ~ a_truth(truthteller(X5))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f25,plain,
( spl0_1
<=> ! [X5] : ~ a_truth(truthteller(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f49,plain,
( a_truth(truthteller(c))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_5
<=> a_truth(truthteller(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f183,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f82,f109,f48]) ).
fof(f109,plain,
( spl0_9
<=> a_truth(truthteller(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f82,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c)) ),
inference(resolution,[],[f11,f18]) ).
fof(f18,axiom,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_are_people) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(truthteller(X0))
| ~ a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_truthtellers1) ).
fof(f182,plain,
( ~ spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f181,f73,f109]) ).
fof(f73,plain,
( spl0_8
<=> a_truth(normal(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f181,plain,
( ~ a_truth(truthteller(b))
| spl0_8 ),
inference(subsumption_resolution,[],[f40,f75]) ).
fof(f75,plain,
( ~ a_truth(normal(a))
| spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f40,plain,
( a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
inference(resolution,[],[f5,f21]) ).
fof(f21,axiom,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_normal) ).
fof(f5,axiom,
! [X0,X1] :
( ~ a_truth(says(X0,X1))
| a_truth(X1)
| ~ a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_tell_truth) ).
fof(f179,plain,
( spl0_5
| spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| spl0_5
| spl0_6
| spl0_12 ),
inference(subsumption_resolution,[],[f177,f59]) ).
fof(f59,plain,
( ~ a_truth(liar(c))
| spl0_6 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_6
<=> a_truth(liar(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f177,plain,
( a_truth(liar(c))
| spl0_5
| spl0_12 ),
inference(subsumption_resolution,[],[f176,f50]) ).
fof(f50,plain,
( ~ a_truth(truthteller(c))
| spl0_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f176,plain,
( a_truth(liar(c))
| a_truth(truthteller(c))
| spl0_12 ),
inference(resolution,[],[f148,f1]) ).
fof(f1,axiom,
! [X0] :
( a_truth(normal(X0))
| a_truth(truthteller(X0))
| a_truth(liar(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person_is_one_type) ).
fof(f148,plain,
( ~ a_truth(normal(c))
| spl0_12 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl0_12
<=> a_truth(normal(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f166,plain,
( spl0_7
| spl0_9
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f165,plain,
( $false
| spl0_7
| spl0_9
| spl0_11 ),
inference(subsumption_resolution,[],[f164,f111]) ).
fof(f111,plain,
( ~ a_truth(truthteller(b))
| spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f164,plain,
( a_truth(truthteller(b))
| spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f163,f71]) ).
fof(f71,plain,
( ~ a_truth(liar(b))
| spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_7
<=> a_truth(liar(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f163,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| spl0_11 ),
inference(resolution,[],[f144,f1]) ).
fof(f144,plain,
( ~ a_truth(normal(b))
| spl0_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl0_11
<=> a_truth(normal(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f159,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f134,f146,f73]) ).
fof(f134,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(a)) ),
inference(resolution,[],[f16,f19]) ).
fof(f19,axiom,
people(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_b_a_are_people) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(normal(X0))
| ~ a_truth(normal(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal2) ).
fof(f157,plain,
( ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f93,f142,f73]) ).
fof(f93,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(resolution,[],[f15,f17]) ).
fof(f17,axiom,
people(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_b_c_are_people) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(normal(X0))
| ~ a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal1) ).
fof(f156,plain,
( ~ spl0_2
| spl0_7
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| ~ spl0_2
| spl0_7
| spl0_9 ),
inference(subsumption_resolution,[],[f154,f111]) ).
fof(f154,plain,
( a_truth(truthteller(b))
| ~ spl0_2
| spl0_7 ),
inference(resolution,[],[f150,f71]) ).
fof(f150,plain,
( ! [X0] :
( a_truth(liar(X0))
| a_truth(truthteller(X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f29,f1]) ).
fof(f29,plain,
( ! [X4] : ~ a_truth(normal(X4))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_2
<=> ! [X4] : ~ a_truth(normal(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f149,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f94,f146,f142]) ).
fof(f94,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(b)) ),
inference(resolution,[],[f15,f18]) ).
fof(f140,plain,
( spl0_4
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| spl0_4
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f138,f74]) ).
fof(f74,plain,
( a_truth(normal(a))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f138,plain,
( ~ a_truth(normal(a))
| spl0_4 ),
inference(subsumption_resolution,[],[f132,f77]) ).
fof(f77,plain,
( a_truth(normal(c))
| spl0_4 ),
inference(resolution,[],[f45,f10]) ).
fof(f10,axiom,
! [X0] :
( a_truth(not_normal(X0))
| a_truth(normal(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normal_or_not_normal) ).
fof(f45,plain,
( ~ a_truth(not_normal(c))
| spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_4
<=> a_truth(not_normal(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f132,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(a)) ),
inference(resolution,[],[f16,f17]) ).
fof(f126,plain,
( spl0_10
| ~ spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f125,f73,f31,f113]) ).
fof(f113,plain,
( spl0_10
<=> a_truth(truthteller(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f31,plain,
( spl0_3
<=> ! [X3] : ~ a_truth(liar(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f125,plain,
( a_truth(truthteller(a))
| ~ spl0_3
| spl0_8 ),
inference(subsumption_resolution,[],[f104,f32]) ).
fof(f32,plain,
( ! [X3] : ~ a_truth(liar(X3))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f104,plain,
( a_truth(liar(a))
| a_truth(truthteller(a))
| spl0_8 ),
inference(resolution,[],[f75,f1]) ).
fof(f122,plain,
( ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f121,f73,f113]) ).
fof(f121,plain,
( ~ a_truth(truthteller(a))
| spl0_8 ),
inference(subsumption_resolution,[],[f39,f75]) ).
fof(f39,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/sandbox/benchmark/theBenchmark.p',a_says_a_normal) ).
fof(f118,plain,
( spl0_10
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f117,f73,f69,f113]) ).
fof(f117,plain,
( a_truth(truthteller(a))
| ~ spl0_7
| spl0_8 ),
inference(subsumption_resolution,[],[f104,f102]) ).
fof(f102,plain,
( ~ a_truth(liar(a))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f87,f70]) ).
fof(f70,plain,
( a_truth(liar(b))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f87,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(resolution,[],[f13,f17]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(liar(X0))
| ~ a_truth(liar(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_liars1) ).
fof(f101,plain,
( spl0_7
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f98,f44,f25,f69]) ).
fof(f98,plain,
( a_truth(liar(b))
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f97,f26]) ).
fof(f97,plain,
( a_truth(liar(b))
| a_truth(truthteller(b))
| spl0_4 ),
inference(resolution,[],[f96,f1]) ).
fof(f96,plain,
( ~ a_truth(normal(b))
| spl0_4 ),
inference(subsumption_resolution,[],[f94,f77]) ).
fof(f76,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f54,f73,f69]) ).
fof(f54,plain,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b)) ),
inference(resolution,[],[f6,f21]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ a_truth(says(X0,X1))
| ~ a_truth(liar(X0))
| ~ a_truth(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_lie) ).
fof(f60,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f55,f57,f44]) ).
fof(f55,plain,
( ~ a_truth(liar(c))
| ~ a_truth(not_normal(c)) ),
inference(resolution,[],[f6,f22]) ).
fof(f22,axiom,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_says_c_not_normal) ).
fof(f33,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f23,f31,f28,f25]) ).
fof(f23,axiom,
! [X3,X4,X5] :
( ~ a_truth(liar(X3))
| ~ a_truth(normal(X4))
| ~ a_truth(truthteller(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_one_of_each) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % 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 : n001.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 10:59:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47 % (28089)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (28097)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.47 % (28097)First to succeed.
% 0.19/0.48 % (28097)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (28097)------------------------------
% 0.19/0.48 % (28097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (28097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (28097)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (28097)Memory used [KB]: 5884
% 0.19/0.48 % (28097)Time elapsed: 0.059 s
% 0.19/0.48 % (28097)Instructions burned: 4 (million)
% 0.19/0.48 % (28097)------------------------------
% 0.19/0.48 % (28097)------------------------------
% 0.19/0.48 % (28079)Success in time 0.131 s
%------------------------------------------------------------------------------