TSTP Solution File: PUZ026-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n003.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 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 77 ( 7 unt; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 183 ( 84 ~; 88 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 12 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(avatar_sat_refutation,[],[f33,f104,f109,f113,f134,f151,f156,f164,f180,f184,f191,f201,f202]) ).
fof(f202,plain,
( ~ spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f160,f44,f130]) ).
fof(f130,plain,
( spl0_10
<=> a_truth(normal(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f44,plain,
( spl0_4
<=> a_truth(not_normal(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f160,plain,
( ~ a_truth(normal(c))
| ~ spl0_4 ),
inference(resolution,[],[f45,f9]) ).
fof(f9,axiom,
! [X0] :
( ~ a_truth(not_normal(X0))
| ~ a_truth(normal(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_normal_and_not_normal) ).
fof(f45,plain,
( a_truth(not_normal(c))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f201,plain,
( ~ spl0_9
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f194,f57,f125]) ).
fof(f125,plain,
( spl0_9
<=> a_truth(normal(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f57,plain,
( spl0_7
<=> a_truth(normal(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f194,plain,
( ~ a_truth(normal(b))
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f82,f58]) ).
fof(f58,plain,
( a_truth(normal(a))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f82,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference(resolution,[],[f15,f17]) ).
fof(f17,axiom,
people(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_b_c_are_people) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_normal1) ).
fof(f191,plain,
( ~ spl0_7
| spl0_9
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| ~ spl0_7
| spl0_9
| spl0_12 ),
inference(subsumption_resolution,[],[f189,f126]) ).
fof(f126,plain,
( ~ a_truth(normal(b))
| spl0_9 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f189,plain,
( a_truth(normal(b))
| ~ spl0_7
| spl0_12 ),
inference(subsumption_resolution,[],[f188,f58]) ).
fof(f188,plain,
( ~ a_truth(normal(a))
| a_truth(normal(b))
| spl0_12 ),
inference(subsumption_resolution,[],[f90,f143]) ).
fof(f143,plain,
( ~ a_truth(truthteller(b))
| spl0_12 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_12
<=> a_truth(truthteller(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f90,plain,
( a_truth(truthteller(b))
| ~ a_truth(normal(a))
| a_truth(normal(b)) ),
inference(resolution,[],[f7,f21]) ).
fof(f21,axiom,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_says_a_normal) ).
fof(f7,axiom,
! [X0,X1] :
( ~ a_truth(says(X1,X0))
| ~ a_truth(X0)
| a_truth(normal(X1))
| a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthtellers_and_normal_tell_truth) ).
fof(f184,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f173,f106,f53]) ).
fof(f53,plain,
( spl0_6
<=> a_truth(liar(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f106,plain,
( spl0_8
<=> a_truth(liar(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f173,plain,
( ~ a_truth(liar(b))
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f80,f108]) ).
fof(f108,plain,
( a_truth(liar(a))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f80,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(resolution,[],[f14,f18]) ).
fof(f18,axiom,
people(b,c,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_c_a_are_people) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(liar(X2))
| ~ a_truth(liar(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_liars2) ).
fof(f180,plain,
( spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f179,f25,f53]) ).
fof(f25,plain,
( spl0_1
<=> ! [X4] : ~ a_truth(normal(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f179,plain,
( a_truth(liar(b))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f170,f26]) ).
fof(f26,plain,
( ! [X4] : ~ a_truth(normal(X4))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f170,plain,
( a_truth(liar(b))
| a_truth(normal(a))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f93,f26]) ).
fof(f93,plain,
( a_truth(normal(a))
| a_truth(normal(b))
| a_truth(liar(b)) ),
inference(resolution,[],[f8,f21]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ a_truth(says(X1,X0))
| a_truth(X0)
| a_truth(normal(X1))
| a_truth(liar(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liars_and_normal_lie) ).
fof(f164,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f162]) ).
fof(f162,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f108,f32]) ).
fof(f32,plain,
( ! [X3] : ~ a_truth(liar(X3))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_3
<=> ! [X3] : ~ a_truth(liar(X3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f156,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f65,f141,f146]) ).
fof(f146,plain,
( spl0_13
<=> a_truth(truthteller(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f65,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c)) ),
inference(resolution,[],[f11,f18]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_truthtellers1) ).
fof(f151,plain,
( spl0_13
| spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f150,f44,f130,f146]) ).
fof(f150,plain,
( a_truth(normal(c))
| a_truth(truthteller(c))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f91,f45]) ).
fof(f91,plain,
( a_truth(normal(c))
| ~ a_truth(not_normal(c))
| a_truth(truthteller(c)) ),
inference(resolution,[],[f7,f22]) ).
fof(f22,axiom,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_c_not_normal) ).
fof(f134,plain,
( spl0_10
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f121,f44,f28,f130]) ).
fof(f28,plain,
( spl0_2
<=> ! [X5] : ~ a_truth(truthteller(X5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f121,plain,
( a_truth(normal(c))
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f120,f45]) ).
fof(f120,plain,
( ~ a_truth(not_normal(c))
| a_truth(normal(c))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f91,f29]) ).
fof(f29,plain,
( ! [X5] : ~ a_truth(truthteller(X5))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f113,plain,
( ~ spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f112,f44,f57]) ).
fof(f112,plain,
( ~ a_truth(normal(a))
| spl0_4 ),
inference(subsumption_resolution,[],[f86,f61]) ).
fof(f61,plain,
( a_truth(normal(c))
| spl0_4 ),
inference(resolution,[],[f46,f10]) ).
fof(f10,axiom,
! [X0] :
( a_truth(not_normal(X0))
| a_truth(normal(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normal_or_not_normal) ).
fof(f46,plain,
( ~ a_truth(not_normal(c))
| spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f86,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(a)) ),
inference(resolution,[],[f16,f17]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ people(X0,X1,X2)
| ~ a_truth(normal(X2))
| ~ a_truth(normal(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_two_normal2) ).
fof(f109,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f95,f57,f106]) ).
fof(f95,plain,
( a_truth(normal(a))
| a_truth(liar(a)) ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( a_truth(liar(a))
| a_truth(normal(a))
| a_truth(normal(a)) ),
inference(resolution,[],[f8,f20]) ).
fof(f20,axiom,
a_truth(says(a,normal(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_says_a_normal) ).
fof(f104,plain,
( spl0_7
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f103,f53,f44,f57]) ).
fof(f103,plain,
( a_truth(normal(a))
| spl0_4
| spl0_6 ),
inference(subsumption_resolution,[],[f96,f85]) ).
fof(f85,plain,
( ~ a_truth(normal(b))
| spl0_4 ),
inference(subsumption_resolution,[],[f84,f61]) ).
fof(f84,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(b)) ),
inference(resolution,[],[f15,f19]) ).
fof(f19,axiom,
people(c,b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_b_a_are_people) ).
fof(f96,plain,
( a_truth(normal(b))
| a_truth(normal(a))
| spl0_6 ),
inference(subsumption_resolution,[],[f93,f55]) ).
fof(f55,plain,
( ~ a_truth(liar(b))
| spl0_6 ),
inference(avatar_component_clause,[],[f53]) ).
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(truthteller(X5))
| ~ a_truth(normal(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_of_each) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ026-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % 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 : n003.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 10:38:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.44 % (20176)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.44 % (20184)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.45 % (20184)Instruction limit reached!
% 0.20/0.45 % (20184)------------------------------
% 0.20/0.45 % (20184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.45 % (20184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.45 % (20184)Termination reason: Unknown
% 0.20/0.45 % (20184)Termination phase: Saturation
% 0.20/0.45
% 0.20/0.45 % (20184)Memory used [KB]: 5373
% 0.20/0.45 % (20184)Time elapsed: 0.004 s
% 0.20/0.45 % (20184)Instructions burned: 2 (million)
% 0.20/0.45 % (20184)------------------------------
% 0.20/0.45 % (20184)------------------------------
% 0.20/0.45 TRYING [1]
% 0.20/0.45 TRYING [2]
% 0.20/0.45 TRYING [3]
% 0.20/0.45 TRYING [4]
% 0.20/0.46 % (20200)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.46 % (20200)First to succeed.
% 0.20/0.46 TRYING [5]
% 0.20/0.47 % (20200)Refutation found. Thanks to Tanya!
% 0.20/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.47 % (20200)------------------------------
% 0.20/0.47 % (20200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47 % (20200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47 % (20200)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (20200)Memory used [KB]: 5500
% 0.20/0.47 % (20200)Time elapsed: 0.069 s
% 0.20/0.47 % (20200)Instructions burned: 4 (million)
% 0.20/0.47 % (20200)------------------------------
% 0.20/0.47 % (20200)------------------------------
% 0.20/0.47 % (20175)Success in time 0.11 s
%------------------------------------------------------------------------------