TSTP Solution File: PUZ024-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n014.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 : 4
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 53 ( 20 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f77,f79,f81,f83,f90]) ).
fof(f90,plain,
( ~ spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f50,f72,f33]) ).
fof(f33,plain,
( spl0_4
<=> a_truth(all_are_liars) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f72,plain,
( spl0_9
<=> a_truth(truthteller(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f50,plain,
( a_truth(truthteller(a))
| ~ a_truth(all_are_liars) ),
inference(resolution,[],[f5,f18]) ).
fof(f18,axiom,
a_truth(says(a,all_are_liars)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_all_are_liars) ).
fof(f5,axiom,
! [X2,X1] :
( ~ a_truth(says(X1,X2))
| a_truth(truthteller(X1))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truths_are_told_by_truthtellers) ).
fof(f83,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f82,plain,
( $false
| ~ spl0_9 ),
inference(resolution,[],[f74,f20]) ).
fof(f20,axiom,
! [X1] : ~ a_truth(truthteller(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_truthteller) ).
fof(f74,plain,
( a_truth(truthteller(a))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f81,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| ~ spl0_8 ),
inference(resolution,[],[f70,f20]) ).
fof(f70,plain,
( a_truth(truthteller(c))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_8
<=> a_truth(truthteller(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f79,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl0_7 ),
inference(resolution,[],[f59,f20]) ).
fof(f59,plain,
( a_truth(truthteller(b))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_7
<=> a_truth(truthteller(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f77,plain,
( spl0_9
| spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f64,f30,f68,f57,f72]) ).
fof(f30,plain,
( spl0_3
<=> ! [X5,X4,X0] :
( a_truth(truthteller(X0))
| a_truth(truthteller(X4))
| a_truth(truthteller(X5))
| ~ people(X0,X4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f64,plain,
( a_truth(truthteller(c))
| a_truth(truthteller(b))
| a_truth(truthteller(a))
| ~ spl0_3 ),
inference(resolution,[],[f31,f15]) ).
fof(f15,axiom,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_people) ).
fof(f31,plain,
( ! [X0,X4,X5] :
( ~ people(X0,X4,X5)
| a_truth(truthteller(X5))
| a_truth(truthteller(X0))
| a_truth(truthteller(X4)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f36,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f33,f30]) ).
fof(f14,axiom,
! [X0,X4,X5] :
( a_truth(all_are_liars)
| a_truth(truthteller(X0))
| ~ people(X0,X4,X5)
| a_truth(truthteller(X5))
| a_truth(truthteller(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',all_truthtellers) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : PUZ024-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 10:39:18 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 % (13918)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (13911)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48 % (13918)First to succeed.
% 0.20/0.48 % (13918)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 % (13918)------------------------------
% 0.20/0.48 % (13918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (13918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (13918)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (13918)Memory used [KB]: 5373
% 0.20/0.48 % (13918)Time elapsed: 0.084 s
% 0.20/0.48 % (13918)Instructions burned: 2 (million)
% 0.20/0.48 % (13918)------------------------------
% 0.20/0.48 % (13918)------------------------------
% 0.20/0.48 % (13907)Success in time 0.125 s
%------------------------------------------------------------------------------