TSTP Solution File: PUZ027-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : PUZ027-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:36:54 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 26
% Syntax : Number of formulae : 80 ( 12 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 186 ( 85 ~; 86 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 16 prp; 0-1 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( a_truth(truthteller(X))
| a_truth(liar(X))
| a_truth(normal(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b))
| answer(a_and_b_truthteller) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [Answer] : ~ answer(Answer),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] :
( a_truth(truthteller(X0))
| a_truth(liar(X0))
| a_truth(normal(X0)) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f65,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b))
| answer(a_and_b_truthteller) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f66,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f67,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f68,plain,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f69,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f70,plain,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f71,plain,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f72,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f73,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f74,plain,
! [X0] : ~ answer(X0),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f75,plain,
( spl0_0
<=> a_truth(truthteller(a)) ),
introduced(split_symbol_definition) ).
fof(f78,plain,
( spl0_1
<=> a_truth(truthteller(b)) ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( spl0_2
<=> answer(a_and_b_truthteller) ),
introduced(split_symbol_definition) ).
fof(f82,plain,
( answer(a_and_b_truthteller)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f65,f75,f78,f81]) ).
fof(f85,plain,
( spl0_3
<=> a_truth(normal(b)) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( spl0_4
<=> answer(a_truthteller_b_normal) ),
introduced(split_symbol_definition) ).
fof(f89,plain,
( answer(a_truthteller_b_normal)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f88]) ).
fof(f91,plain,
( ~ spl0_0
| ~ spl0_3
| spl0_4 ),
inference(split_clause,[status(thm)],[f66,f75,f85,f88]) ).
fof(f92,plain,
( spl0_5
<=> a_truth(liar(b)) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( ~ a_truth(liar(b))
| spl0_5 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( spl0_6
<=> answer(a_truthteller_b_liar) ),
introduced(split_symbol_definition) ).
fof(f96,plain,
( answer(a_truthteller_b_liar)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( ~ spl0_0
| ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f67,f75,f92,f95]) ).
fof(f99,plain,
( spl0_7
<=> a_truth(normal(a)) ),
introduced(split_symbol_definition) ).
fof(f102,plain,
( spl0_8
<=> answer(a_normal_b_truthteller) ),
introduced(split_symbol_definition) ).
fof(f103,plain,
( answer(a_normal_b_truthteller)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( ~ spl0_7
| ~ spl0_1
| spl0_8 ),
inference(split_clause,[status(thm)],[f68,f99,f78,f102]) ).
fof(f106,plain,
( spl0_9
<=> answer(a_and_b_normal) ),
introduced(split_symbol_definition) ).
fof(f107,plain,
( answer(a_and_b_normal)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( ~ spl0_7
| ~ spl0_3
| spl0_9 ),
inference(split_clause,[status(thm)],[f69,f99,f85,f106]) ).
fof(f110,plain,
( spl0_10
<=> answer(a_normal_b_liar) ),
introduced(split_symbol_definition) ).
fof(f111,plain,
( answer(a_normal_b_liar)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f110]) ).
fof(f113,plain,
( ~ spl0_7
| ~ spl0_5
| spl0_10 ),
inference(split_clause,[status(thm)],[f70,f99,f92,f110]) ).
fof(f114,plain,
( spl0_11
<=> a_truth(liar(a)) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( ~ a_truth(liar(a))
| spl0_11 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,plain,
( spl0_12
<=> answer(a_liar_b_truthteller) ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( answer(a_liar_b_truthteller)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( ~ spl0_11
| ~ spl0_1
| spl0_12 ),
inference(split_clause,[status(thm)],[f71,f114,f78,f117]) ).
fof(f121,plain,
( spl0_13
<=> answer(a_liar_b_normal) ),
introduced(split_symbol_definition) ).
fof(f122,plain,
( answer(a_liar_b_normal)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( ~ spl0_11
| ~ spl0_3
| spl0_13 ),
inference(split_clause,[status(thm)],[f72,f114,f85,f121]) ).
fof(f125,plain,
( spl0_14
<=> answer(a_and_b_liar) ),
introduced(split_symbol_definition) ).
fof(f126,plain,
( answer(a_and_b_liar)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( ~ spl0_11
| ~ spl0_5
| spl0_14 ),
inference(split_clause,[status(thm)],[f73,f114,f92,f125]) ).
fof(f129,plain,
( a_truth(truthteller(b))
| a_truth(normal(b))
| spl0_5 ),
inference(resolution,[status(thm)],[f33,f94]) ).
fof(f130,plain,
( spl0_1
| spl0_3
| spl0_5 ),
inference(split_clause,[status(thm)],[f129,f78,f85,f92]) ).
fof(f131,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f74]) ).
fof(f132,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f131]) ).
fof(f133,plain,
( a_truth(truthteller(a))
| a_truth(normal(a))
| spl0_11 ),
inference(resolution,[status(thm)],[f116,f33]) ).
fof(f134,plain,
( spl0_0
| spl0_7
| spl0_11 ),
inference(split_clause,[status(thm)],[f133,f75,f99,f114]) ).
fof(f135,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f74]) ).
fof(f136,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f135]) ).
fof(f137,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f82,f74]) ).
fof(f138,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f74]) ).
fof(f140,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f141,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f74]) ).
fof(f142,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f141]) ).
fof(f143,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f103,f74]) ).
fof(f144,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f143]) ).
fof(f145,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f74]) ).
fof(f146,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f145]) ).
fof(f147,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f74]) ).
fof(f148,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f147]) ).
fof(f149,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f74]) ).
fof(f150,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f149]) ).
fof(f151,plain,
$false,
inference(sat_refutation,[status(thm)],[f84,f91,f98,f105,f109,f113,f120,f124,f128,f130,f132,f134,f136,f138,f140,f142,f144,f146,f148,f150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:34:17 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.016827 seconds
% 0.13/0.36 % CPU time: 0.034475 seconds
% 0.13/0.36 % Total memory used: 2.111 MB
% 0.13/0.36 % Net memory used: 2.086 MB
%------------------------------------------------------------------------------