TSTP Solution File: PUZ007-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : PUZ007-1 : 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 : n008.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 18:10:38 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 85 ( 5 unt; 0 def)
% Number of atoms : 192 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 209 ( 102 ~; 98 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f143,plain,
$false,
inference(avatar_sat_refutation,[],[f37,f42,f43,f57,f58,f67,f76,f80,f82,f87,f96,f111,f121,f125,f142]) ).
fof(f142,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f141,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f140,f46]) ).
fof(f46,plain,
( female(a)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl0_4
<=> female(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f140,plain,
( ~ female(a)
| spl0_2
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f138,f62]) ).
fof(f62,plain,
( from_venus(a)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl0_7
<=> from_venus(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f138,plain,
( ~ from_venus(a)
| ~ female(a)
| spl0_2 ),
inference(resolution,[],[f134,f11]) ).
fof(f11,axiom,
! [X0] :
( truthteller(X0)
| ~ from_venus(X0)
| ~ female(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_female_are_truthtellers) ).
fof(f134,plain,
( ~ truthteller(a)
| spl0_2 ),
inference(resolution,[],[f126,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ liar(X0)
| ~ truthteller(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_truthteller_and_liar) ).
fof(f126,plain,
( liar(a)
| spl0_2 ),
inference(subsumption_resolution,[],[f106,f35]) ).
fof(f35,plain,
( ~ a_truth(a_from_mars)
| spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f34,plain,
( spl0_2
<=> a_truth(a_from_mars) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f106,plain,
( liar(a)
| a_truth(a_from_mars) ),
inference(superposition,[],[f10,f22]) ).
fof(f22,axiom,
a_from_mars = statement_by(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_states) ).
fof(f10,axiom,
! [X0] :
( a_truth(statement_by(X0))
| liar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_statements_made_by_liars) ).
fof(f125,plain,
( ~ spl0_6
| ~ spl0_1
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f124,f69,f30,f54]) ).
fof(f54,plain,
( spl0_6
<=> from_mars(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f30,plain,
( spl0_1
<=> a_truth(statement_by(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f69,plain,
( spl0_9
<=> female(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f124,plain,
( ~ from_mars(b)
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f98,f123]) ).
fof(f123,plain,
( ~ liar(b)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f104,f122]) ).
fof(f122,plain,
( a_truth(a_has_lied)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f32,f23]) ).
fof(f23,axiom,
a_has_lied = statement_by(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_states) ).
fof(f32,plain,
( a_truth(statement_by(b))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f104,plain,
( ~ a_truth(a_has_lied)
| ~ liar(b) ),
inference(resolution,[],[f18,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ says(X0,X1)
| ~ liar(X0)
| ~ a_truth(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_make_false_statements) ).
fof(f18,axiom,
says(b,a_has_lied),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_lies) ).
fof(f98,plain,
( liar(b)
| ~ from_mars(b)
| ~ spl0_9 ),
inference(resolution,[],[f71,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ female(X0)
| ~ from_mars(X0)
| liar(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_females_are_liars) ).
fof(f71,plain,
( female(b)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f121,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f119,f66]) ).
fof(f66,plain,
( from_venus(b)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_8
<=> from_venus(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f119,plain,
( ~ from_venus(b)
| spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f117,f71]) ).
fof(f117,plain,
( ~ female(b)
| ~ from_venus(b)
| spl0_1 ),
inference(resolution,[],[f112,f11]) ).
fof(f112,plain,
( ~ truthteller(b)
| spl0_1 ),
inference(resolution,[],[f108,f6]) ).
fof(f108,plain,
( liar(b)
| spl0_1 ),
inference(subsumption_resolution,[],[f107,f77]) ).
fof(f77,plain,
( ~ a_truth(a_has_lied)
| spl0_1 ),
inference(forward_demodulation,[],[f31,f23]) ).
fof(f31,plain,
( ~ a_truth(statement_by(b))
| spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f107,plain,
( liar(b)
| a_truth(a_has_lied) ),
inference(superposition,[],[f10,f23]) ).
fof(f111,plain,
( ~ spl0_7
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f110,f73,f34,f60]) ).
fof(f73,plain,
( spl0_10
<=> male(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f110,plain,
( ~ from_venus(a)
| ~ spl0_2
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f109,f74]) ).
fof(f74,plain,
( male(a)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f109,plain,
( ~ male(a)
| ~ from_venus(a)
| ~ spl0_2 ),
inference(resolution,[],[f97,f12]) ).
fof(f12,axiom,
! [X0] :
( liar(X0)
| ~ male(X0)
| ~ from_venus(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_males_are_liars) ).
fof(f97,plain,
( ~ liar(a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f92,f36]) ).
fof(f36,plain,
( a_truth(a_from_mars)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f92,plain,
( ~ a_truth(a_from_mars)
| ~ liar(a) ),
inference(resolution,[],[f17,f16]) ).
fof(f17,axiom,
says(a,a_from_mars),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
fof(f96,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f95,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f94,f36]) ).
fof(f94,plain,
( ~ a_truth(a_from_mars)
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f92,f90]) ).
fof(f90,plain,
( liar(a)
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f88,f41]) ).
fof(f41,plain,
( from_mars(a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f39,plain,
( spl0_3
<=> from_mars(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f88,plain,
( liar(a)
| ~ from_mars(a)
| ~ spl0_4 ),
inference(resolution,[],[f46,f14]) ).
fof(f87,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f84,f73,f45]) ).
fof(f84,plain,
( female(a)
| spl0_10 ),
inference(resolution,[],[f75,f3]) ).
fof(f3,axiom,
! [X0] :
( male(X0)
| female(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',male_or_female) ).
fof(f75,plain,
( ~ male(a)
| spl0_10 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f82,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f81,f64,f54]) ).
fof(f81,plain,
( ~ from_mars(b)
| ~ spl0_8 ),
inference(resolution,[],[f66,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ from_venus(X0)
| ~ from_mars(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_from_mars_and_venus) ).
fof(f80,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f78,f41]) ).
fof(f78,plain,
( ~ from_mars(a)
| ~ spl0_7 ),
inference(resolution,[],[f62,f2]) ).
fof(f76,plain,
( spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f26,f73,f69]) ).
fof(f26,axiom,
( ~ male(a)
| female(b) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex2) ).
fof(f67,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f28,f64,f60]) ).
fof(f28,axiom,
( from_venus(b)
| from_venus(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_venus) ).
fof(f58,plain,
( ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f34,f39]) ).
fof(f19,axiom,
( a_truth(a_from_mars)
| ~ from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars1) ).
fof(f57,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f27,f54,f39]) ).
fof(f27,axiom,
( from_mars(b)
| from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_mars) ).
fof(f43,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f21,f34,f30]) ).
fof(f21,axiom,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars3) ).
fof(f42,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f20,f34,f39]) ).
fof(f20,axiom,
( ~ a_truth(a_from_mars)
| from_mars(a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars2) ).
fof(f37,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f34,f30]) ).
fof(f24,axiom,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_of_bs_statement) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % 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 : n008.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 10:38:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (23449)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.49 % (23442)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)
% 0.19/0.49 % (23449)First to succeed.
% 0.19/0.50 % (23438)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (23458)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.50 % (23449)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (23449)------------------------------
% 0.19/0.50 % (23449)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (23449)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (23449)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (23449)Memory used [KB]: 5884
% 0.19/0.50 % (23449)Time elapsed: 0.097 s
% 0.19/0.50 % (23449)Instructions burned: 2 (million)
% 0.19/0.50 % (23449)------------------------------
% 0.19/0.50 % (23449)------------------------------
% 0.19/0.50 % (23429)Success in time 0.158 s
%------------------------------------------------------------------------------