TSTP Solution File: PUZ007-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 May 31 12:31:44 EDT 2023
% Result : Unsatisfiable 0.19s 0.35s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 30
% Syntax : Number of formulae : 89 ( 7 unt; 0 def)
% Number of atoms : 192 ( 2 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 181 ( 78 ~; 90 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 25 (; 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( from_mars(X)
| from_venus(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ~ from_mars(X)
| ~ from_venus(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( male(X)
| female(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ~ from_venus(X)
| ~ female(X)
| truthteller(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] :
( ~ from_mars(X)
| ~ female(X)
| liar(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] :
( ~ truthteller(X)
| ~ says(X,Y)
| a_truth(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ~ liar(X)
| ~ says(X,Y)
| ~ a_truth(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
says(a,a_from_mars),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
says(b,a_has_lied),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
statement_by(b) = a_has_lied,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( ~ male(a)
| female(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( from_mars(b)
| from_mars(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( from_venus(a)
| from_venus(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] :
( from_mars(X0)
| from_venus(X0) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
! [X0] :
( ~ from_mars(X0)
| ~ from_venus(X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f31,plain,
! [X0] :
( male(X0)
| female(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f40,plain,
! [X0] :
( ~ from_venus(X0)
| ~ female(X0)
| truthteller(X0) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f43,plain,
! [X0] :
( ~ from_mars(X0)
| ~ female(X0)
| liar(X0) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f44,plain,
! [Y] :
( ! [X] :
( ~ truthteller(X)
| ~ says(X,Y) )
| a_truth(Y) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f45,plain,
! [X0,X1] :
( ~ truthteller(X0)
| ~ says(X0,X1)
| a_truth(X1) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [Y] :
( ! [X] :
( ~ liar(X)
| ~ says(X,Y) )
| ~ a_truth(Y) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f47,plain,
! [X0,X1] :
( ~ liar(X0)
| ~ says(X0,X1)
| ~ a_truth(X1) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
says(a,a_from_mars),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f49,plain,
says(b,a_has_lied),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f50,plain,
( ~ from_mars(a)
| a_truth(a_from_mars) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f51,plain,
( from_mars(a)
| ~ a_truth(a_from_mars) ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f52,plain,
( ~ a_truth(a_from_mars)
| ~ a_truth(statement_by(b)) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f54,plain,
statement_by(b) = a_has_lied,
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f55,plain,
( a_truth(a_from_mars)
| a_truth(statement_by(b)) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f57,plain,
( ~ male(a)
| female(b) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f58,plain,
( from_mars(b)
| from_mars(a) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f59,plain,
( from_venus(a)
| from_venus(b) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f60,plain,
( spl0_0
<=> from_mars(a) ),
introduced(split_symbol_definition) ).
fof(f63,plain,
( spl0_1
<=> a_truth(a_from_mars) ),
introduced(split_symbol_definition) ).
fof(f66,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f50,f60,f63]) ).
fof(f67,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f51,f60,f63]) ).
fof(f68,plain,
( spl0_2
<=> a_truth(statement_by(b)) ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( a_truth(statement_by(b))
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f70,plain,
( ~ a_truth(statement_by(b))
| spl0_2 ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f52,f63,f68]) ).
fof(f72,plain,
( spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f55,f63,f68]) ).
fof(f80,plain,
( spl0_5
<=> male(a) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( spl0_6
<=> female(b) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( female(b)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f57,f80,f83]) ).
fof(f87,plain,
( spl0_7
<=> from_mars(b) ),
introduced(split_symbol_definition) ).
fof(f90,plain,
( spl0_7
| spl0_0 ),
inference(split_clause,[status(thm)],[f58,f87,f60]) ).
fof(f91,plain,
( spl0_8
<=> from_venus(a) ),
introduced(split_symbol_definition) ).
fof(f92,plain,
( from_venus(a)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f93,plain,
( ~ from_venus(a)
| spl0_8 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( spl0_9
<=> from_venus(b) ),
introduced(split_symbol_definition) ).
fof(f97,plain,
( spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f59,f91,f94]) ).
fof(f98,plain,
! [X0] :
( male(X0)
| ~ from_venus(X0)
| truthteller(X0) ),
inference(resolution,[status(thm)],[f31,f40]) ).
fof(f99,plain,
! [X0] :
( male(X0)
| truthteller(X0)
| from_mars(X0) ),
inference(resolution,[status(thm)],[f98,f29]) ).
fof(f102,plain,
( spl0_10
<=> a_truth(a_has_lied) ),
introduced(split_symbol_definition) ).
fof(f105,plain,
( spl0_11
<=> truthteller(b) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( spl0_12
<=> truthteller(a) ),
introduced(split_symbol_definition) ).
fof(f112,plain,
( ~ truthteller(a)
| spl0_12 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f115,plain,
( a_truth(a_has_lied)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f54,f69]) ).
fof(f117,plain,
( spl0_13
<=> liar(b) ),
introduced(split_symbol_definition) ).
fof(f122,plain,
( spl0_14
<=> liar(a) ),
introduced(split_symbol_definition) ).
fof(f127,plain,
! [X0] :
( ~ from_mars(X0)
| liar(X0)
| male(X0) ),
inference(resolution,[status(thm)],[f43,f31]) ).
fof(f128,plain,
( ~ truthteller(b)
| a_truth(a_has_lied) ),
inference(resolution,[status(thm)],[f45,f49]) ).
fof(f129,plain,
( ~ spl0_11
| spl0_10 ),
inference(split_clause,[status(thm)],[f128,f105,f102]) ).
fof(f130,plain,
( ~ truthteller(a)
| a_truth(a_from_mars) ),
inference(resolution,[status(thm)],[f45,f48]) ).
fof(f131,plain,
( ~ spl0_12
| spl0_1 ),
inference(split_clause,[status(thm)],[f130,f110,f63]) ).
fof(f132,plain,
( ~ a_truth(a_has_lied)
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f54,f70]) ).
fof(f133,plain,
( ~ liar(b)
| ~ a_truth(a_has_lied) ),
inference(resolution,[status(thm)],[f47,f49]) ).
fof(f134,plain,
( ~ spl0_13
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f133,f117,f102]) ).
fof(f135,plain,
( ~ liar(a)
| ~ a_truth(a_from_mars) ),
inference(resolution,[status(thm)],[f47,f48]) ).
fof(f136,plain,
( ~ spl0_14
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f135,f122,f63]) ).
fof(f139,plain,
( ~ from_mars(a)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f92,f30]) ).
fof(f140,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f139,f60,f91]) ).
fof(f149,plain,
( ~ from_mars(b)
| liar(b)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f84,f43]) ).
fof(f150,plain,
( ~ spl0_7
| spl0_13
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f149,f87,f117,f83]) ).
fof(f152,plain,
( ~ from_venus(b)
| truthteller(b)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f84,f40]) ).
fof(f153,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f152,f94,f105,f83]) ).
fof(f154,plain,
( male(a)
| from_mars(a)
| spl0_12 ),
inference(resolution,[status(thm)],[f112,f99]) ).
fof(f155,plain,
( spl0_5
| spl0_0
| spl0_12 ),
inference(split_clause,[status(thm)],[f154,f80,f60,f110]) ).
fof(f163,plain,
( from_mars(a)
| spl0_8 ),
inference(resolution,[status(thm)],[f93,f29]) ).
fof(f164,plain,
( liar(a)
| male(a)
| spl0_8 ),
inference(resolution,[status(thm)],[f163,f127]) ).
fof(f165,plain,
( spl0_14
| spl0_5
| spl0_8 ),
inference(split_clause,[status(thm)],[f164,f122,f80,f91]) ).
fof(f168,plain,
( spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f115,f102,f68]) ).
fof(f169,plain,
( ~ spl0_10
| spl0_2 ),
inference(split_clause,[status(thm)],[f132,f102,f68]) ).
fof(f171,plain,
$false,
inference(sat_refutation,[status(thm)],[f66,f67,f71,f72,f86,f90,f97,f129,f131,f134,f136,f140,f150,f153,f155,f165,f168,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n019.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 May 30 10:32:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.19/0.35 % Refutation found
% 0.19/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.57 % Elapsed time: 0.013325 seconds
% 0.23/0.57 % CPU time: 0.031637 seconds
% 0.23/0.57 % Memory used: 14.418 MB
%------------------------------------------------------------------------------