TSTP Solution File: PUZ024-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ024-1 : 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 : n028.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 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 23 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f47,f55,f56]) ).
fof(f56,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f48,f30]) ).
fof(f30,plain,
( spl0_3
<=> a_truth(all_are_liars) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f48,plain,
~ a_truth(all_are_liars),
inference(resolution,[],[f45,f18]) ).
fof(f18,axiom,
a_truth(says(a,all_are_liars)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_all_are_liars) ).
fof(f45,plain,
! [X2,X1] :
( ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
inference(subsumption_resolution,[],[f5,f20]) ).
fof(f20,axiom,
! [X1] : ~ a_truth(truthteller(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).
fof(f5,axiom,
! [X2,X1] :
( ~ a_truth(says(X1,X2))
| ~ a_truth(X2)
| a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truths_are_told_by_truthtellers) ).
fof(f55,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f54,f34,f42]) ).
fof(f42,plain,
( spl0_5
<=> ! [X4,X5,X0] : ~ people(X0,X4,X5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f34,plain,
( spl0_4
<=> ! [X5,X4,X0] :
( a_truth(truthteller(X0))
| ~ people(X0,X4,X5)
| a_truth(truthteller(X4))
| a_truth(truthteller(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f54,plain,
( ! [X0,X4,X5] : ~ people(X0,X4,X5)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f53,f20]) ).
fof(f53,plain,
( ! [X0,X4,X5] :
( a_truth(truthteller(X4))
| ~ people(X0,X4,X5) )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f52,f20]) ).
fof(f52,plain,
( ! [X0,X4,X5] :
( a_truth(truthteller(X0))
| ~ people(X0,X4,X5)
| a_truth(truthteller(X4)) )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f35,f20]) ).
fof(f35,plain,
( ! [X0,X4,X5] :
( a_truth(truthteller(X5))
| a_truth(truthteller(X4))
| ~ people(X0,X4,X5)
| a_truth(truthteller(X0)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f47,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| ~ spl0_5 ),
inference(resolution,[],[f15,f43]) ).
fof(f43,plain,
( ! [X0,X4,X5] : ~ people(X0,X4,X5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f15,axiom,
people(b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_c_a_people) ).
fof(f36,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f34,f30]) ).
fof(f14,axiom,
! [X0,X4,X5] :
( a_truth(truthteller(X0))
| a_truth(truthteller(X5))
| a_truth(truthteller(X4))
| a_truth(all_are_liars)
| ~ people(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_truthtellers) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n028.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 : Tue Aug 30 10:47:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.46 % (31580)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.46 % (31580)First to succeed.
% 0.19/0.46 % (31580)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (31580)------------------------------
% 0.19/0.46 % (31580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (31580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (31580)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (31580)Memory used [KB]: 5884
% 0.19/0.46 % (31580)Time elapsed: 0.064 s
% 0.19/0.46 % (31580)Instructions burned: 1 (million)
% 0.19/0.46 % (31580)------------------------------
% 0.19/0.46 % (31580)------------------------------
% 0.19/0.46 % (31567)Success in time 0.124 s
%------------------------------------------------------------------------------