TSTP Solution File: PUZ025-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n012.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 12:31:48 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n012.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 : Tue May 30 10:26:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36  fof(f1,axiom,(
% 0.13/0.36    (![X]: (( a_truth(truthteller(X))| a_truth(liar(X)) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f14,axiom,(
% 0.13/0.36    (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(truthteller(X))| ~ a_truth(Y)| answer(yes) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f15,axiom,(
% 0.13/0.36    (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(truthteller(X))| a_truth(Y)| answer(no) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f16,axiom,(
% 0.13/0.36    (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(liar(X))| ~ a_truth(Y)| answer(no) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f17,axiom,(
% 0.13/0.36    (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(liar(X))| a_truth(Y)| answer(yes) ) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f23,hypothesis,(
% 0.13/0.36    ask_1_if_2(c,equal_type(a,b)) ),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f24,negated_conjecture,(
% 0.13/0.36    (![Answer]: (~ answer(Answer) ))),
% 0.13/0.36    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36  fof(f25,plain,(
% 0.13/0.36    ![X0]: (a_truth(truthteller(X0))|a_truth(liar(X0)))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36  fof(f48,plain,(
% 0.13/0.36    (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(truthteller(X))))|~a_truth(Y)))|answer(yes)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f14])).
% 0.13/0.36  fof(f49,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)|answer(yes))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f48])).
% 0.13/0.36  fof(f50,plain,(
% 0.13/0.36    (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(truthteller(X))))|a_truth(Y)))|answer(no)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f15])).
% 0.13/0.36  fof(f51,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)|answer(no))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f50])).
% 0.13/0.36  fof(f52,plain,(
% 0.13/0.36    (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(liar(X))))|~a_truth(Y)))|answer(no)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f16])).
% 0.13/0.36  fof(f53,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)|answer(no))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f52])).
% 0.13/0.36  fof(f54,plain,(
% 0.13/0.36    (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(liar(X))))|a_truth(Y)))|answer(yes)),
% 0.13/0.36    inference(miniscoping,[status(esa)],[f17])).
% 0.13/0.36  fof(f55,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)|answer(yes))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f54])).
% 0.13/0.36  fof(f61,plain,(
% 0.13/0.36    ask_1_if_2(c,equal_type(a,b))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.36  fof(f62,plain,(
% 0.13/0.36    ![X0]: (~answer(X0))),
% 0.13/0.36    inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.36  fof(f63,plain,(
% 0.13/0.36    spl0_0 <=> ~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f64,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)|~spl0_0)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f63])).
% 0.13/0.36  fof(f66,plain,(
% 0.13/0.36    spl0_1 <=> answer(yes)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f67,plain,(
% 0.13/0.36    answer(yes)|~spl0_1),
% 0.13/0.36    inference(component_clause,[status(thm)],[f66])).
% 0.13/0.36  fof(f69,plain,(
% 0.13/0.36    spl0_0|spl0_1),
% 0.13/0.36    inference(split_clause,[status(thm)],[f49,f63,f66])).
% 0.13/0.36  fof(f70,plain,(
% 0.13/0.36    spl0_2 <=> ~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f71,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)|~spl0_2)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f70])).
% 0.13/0.36  fof(f73,plain,(
% 0.13/0.36    spl0_3 <=> answer(no)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f74,plain,(
% 0.13/0.36    answer(no)|~spl0_3),
% 0.13/0.36    inference(component_clause,[status(thm)],[f73])).
% 0.13/0.36  fof(f76,plain,(
% 0.13/0.36    spl0_2|spl0_3),
% 0.13/0.36    inference(split_clause,[status(thm)],[f51,f70,f73])).
% 0.13/0.36  fof(f77,plain,(
% 0.13/0.36    spl0_4 <=> ~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)),
% 0.13/0.36    introduced(split_symbol_definition)).
% 0.13/0.36  fof(f78,plain,(
% 0.13/0.36    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)|~spl0_4)),
% 0.13/0.36    inference(component_clause,[status(thm)],[f77])).
% 0.13/0.36  fof(f80,plain,(
% 0.13/0.36    spl0_4|spl0_3),
% 0.13/0.37    inference(split_clause,[status(thm)],[f53,f77,f73])).
% 0.13/0.37  fof(f81,plain,(
% 0.13/0.37    spl0_5 <=> ~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f82,plain,(
% 0.13/0.37    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)|~spl0_5)),
% 0.13/0.37    inference(component_clause,[status(thm)],[f81])).
% 0.13/0.37  fof(f84,plain,(
% 0.13/0.37    spl0_5|spl0_1),
% 0.13/0.37    inference(split_clause,[status(thm)],[f55,f81,f66])).
% 0.13/0.37  fof(f85,plain,(
% 0.13/0.37    $false|~spl0_1),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f67,f62])).
% 0.13/0.37  fof(f86,plain,(
% 0.13/0.37    ~spl0_1),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f85])).
% 0.13/0.37  fof(f87,plain,(
% 0.13/0.37    $false|~spl0_3),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f74,f62])).
% 0.13/0.37  fof(f88,plain,(
% 0.13/0.37    ~spl0_3),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f87])).
% 0.13/0.37  fof(f89,plain,(
% 0.13/0.37    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~spl0_0|~spl0_2)),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f71,f64])).
% 0.13/0.37  fof(f90,plain,(
% 0.13/0.37    ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~spl0_5|~spl0_4)),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f78,f82])).
% 0.13/0.37  fof(f123,plain,(
% 0.13/0.37    spl0_13 <=> a_truth(liar(c))),
% 0.13/0.37    introduced(split_symbol_definition)).
% 0.13/0.37  fof(f125,plain,(
% 0.13/0.37    ~a_truth(liar(c))|spl0_13),
% 0.13/0.37    inference(component_clause,[status(thm)],[f123])).
% 0.13/0.37  fof(f150,plain,(
% 0.13/0.37    a_truth(truthteller(c))|spl0_13),
% 0.13/0.37    inference(resolution,[status(thm)],[f125,f25])).
% 0.13/0.37  fof(f156,plain,(
% 0.13/0.37    ~a_truth(truthteller(c))|~spl0_0|~spl0_2),
% 0.13/0.37    inference(resolution,[status(thm)],[f89,f61])).
% 0.13/0.37  fof(f157,plain,(
% 0.13/0.37    $false|spl0_13|~spl0_0|~spl0_2),
% 0.13/0.37    inference(forward_subsumption_resolution,[status(thm)],[f156,f150])).
% 0.13/0.37  fof(f158,plain,(
% 0.13/0.37    spl0_13|~spl0_0|~spl0_2),
% 0.13/0.37    inference(contradiction_clause,[status(thm)],[f157])).
% 0.13/0.37  fof(f160,plain,(
% 0.13/0.37    ~a_truth(liar(c))|~spl0_5|~spl0_4),
% 0.13/0.37    inference(resolution,[status(thm)],[f90,f61])).
% 0.13/0.37  fof(f161,plain,(
% 0.13/0.37    ~spl0_13|~spl0_5|~spl0_4),
% 0.13/0.37    inference(split_clause,[status(thm)],[f160,f123,f81,f77])).
% 0.13/0.37  fof(f162,plain,(
% 0.13/0.37    $false),
% 0.13/0.37    inference(sat_refutation,[status(thm)],[f69,f76,f80,f84,f86,f88,f158,f161])).
% 0.13/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.59  % Elapsed time: 0.026312 seconds
% 0.23/0.59  % CPU time: 0.019377 seconds
% 0.23/0.59  % Memory used: 555.758 KB
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