TSTP Solution File: PUZ025-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n032.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 0.08s 0.29s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon Apr 29 22:15:35 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Drodi V3.6.0
% 0.08/0.29 % Refutation found
% 0.08/0.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.29 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.29 fof(f1,axiom,(
% 0.08/0.29 (![X]: (( a_truth(truthteller(X))| a_truth(liar(X)) ) ))),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f14,axiom,(
% 0.08/0.29 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(truthteller(X))| ~ a_truth(Y)| answer(yes) ) ))),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f15,axiom,(
% 0.08/0.29 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(truthteller(X))| a_truth(Y)| answer(no) ) ))),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f16,axiom,(
% 0.08/0.29 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(liar(X))| ~ a_truth(Y)| answer(no) ) ))),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f17,axiom,(
% 0.08/0.29 (![X,Y]: (( ~ ask_1_if_2(X,Y)| ~ a_truth(liar(X))| a_truth(Y)| answer(yes) ) ))),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f23,hypothesis,(
% 0.08/0.29 ask_1_if_2(c,equal_type(a,b)) ),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f24,negated_conjecture,(
% 0.08/0.29 (![Answer]: (~ answer(Answer) ))),
% 0.08/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.29 fof(f25,plain,(
% 0.08/0.29 ![X0]: (a_truth(truthteller(X0))|a_truth(liar(X0)))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f1])).
% 0.08/0.29 fof(f48,plain,(
% 0.08/0.29 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(truthteller(X))))|~a_truth(Y)))|answer(yes)),
% 0.08/0.29 inference(miniscoping,[status(esa)],[f14])).
% 0.08/0.29 fof(f49,plain,(
% 0.08/0.29 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)|answer(yes))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f48])).
% 0.08/0.29 fof(f50,plain,(
% 0.08/0.29 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(truthteller(X))))|a_truth(Y)))|answer(no)),
% 0.08/0.29 inference(miniscoping,[status(esa)],[f15])).
% 0.08/0.29 fof(f51,plain,(
% 0.08/0.29 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)|answer(no))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f50])).
% 0.08/0.29 fof(f52,plain,(
% 0.08/0.29 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(liar(X))))|~a_truth(Y)))|answer(no)),
% 0.08/0.29 inference(miniscoping,[status(esa)],[f16])).
% 0.08/0.29 fof(f53,plain,(
% 0.08/0.29 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)|answer(no))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f52])).
% 0.08/0.29 fof(f54,plain,(
% 0.08/0.29 (![Y]: ((![X]: (~ask_1_if_2(X,Y)|~a_truth(liar(X))))|a_truth(Y)))|answer(yes)),
% 0.08/0.29 inference(miniscoping,[status(esa)],[f17])).
% 0.08/0.29 fof(f55,plain,(
% 0.08/0.29 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)|answer(yes))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f54])).
% 0.08/0.29 fof(f61,plain,(
% 0.08/0.29 ask_1_if_2(c,equal_type(a,b))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f23])).
% 0.08/0.29 fof(f62,plain,(
% 0.08/0.29 ![X0]: (~answer(X0))),
% 0.08/0.29 inference(cnf_transformation,[status(esa)],[f24])).
% 0.08/0.29 fof(f63,plain,(
% 0.08/0.29 spl0_0 <=> ~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.29 fof(f64,plain,(
% 0.08/0.29 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~a_truth(X1)|~spl0_0)),
% 0.08/0.29 inference(component_clause,[status(thm)],[f63])).
% 0.08/0.29 fof(f66,plain,(
% 0.08/0.29 spl0_1 <=> answer(yes)),
% 0.08/0.29 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f67,plain,(
% 0.08/0.30 answer(yes)|~spl0_1),
% 0.08/0.30 inference(component_clause,[status(thm)],[f66])).
% 0.08/0.30 fof(f69,plain,(
% 0.08/0.30 spl0_0|spl0_1),
% 0.08/0.30 inference(split_clause,[status(thm)],[f49,f63,f66])).
% 0.08/0.30 fof(f70,plain,(
% 0.08/0.30 spl0_2 <=> ~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f71,plain,(
% 0.08/0.30 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|a_truth(X1)|~spl0_2)),
% 0.08/0.30 inference(component_clause,[status(thm)],[f70])).
% 0.08/0.30 fof(f73,plain,(
% 0.08/0.30 spl0_3 <=> answer(no)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f74,plain,(
% 0.08/0.30 answer(no)|~spl0_3),
% 0.08/0.30 inference(component_clause,[status(thm)],[f73])).
% 0.08/0.30 fof(f76,plain,(
% 0.08/0.30 spl0_2|spl0_3),
% 0.08/0.30 inference(split_clause,[status(thm)],[f51,f70,f73])).
% 0.08/0.30 fof(f77,plain,(
% 0.08/0.30 spl0_4 <=> ~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f78,plain,(
% 0.08/0.30 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~a_truth(X1)|~spl0_4)),
% 0.08/0.30 inference(component_clause,[status(thm)],[f77])).
% 0.08/0.30 fof(f80,plain,(
% 0.08/0.30 spl0_4|spl0_3),
% 0.08/0.30 inference(split_clause,[status(thm)],[f53,f77,f73])).
% 0.08/0.30 fof(f81,plain,(
% 0.08/0.30 spl0_5 <=> ~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f82,plain,(
% 0.08/0.30 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|a_truth(X1)|~spl0_5)),
% 0.08/0.30 inference(component_clause,[status(thm)],[f81])).
% 0.08/0.30 fof(f84,plain,(
% 0.08/0.30 spl0_5|spl0_1),
% 0.08/0.30 inference(split_clause,[status(thm)],[f55,f81,f66])).
% 0.08/0.30 fof(f85,plain,(
% 0.08/0.30 $false|~spl0_1),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f67,f62])).
% 0.08/0.30 fof(f86,plain,(
% 0.08/0.30 ~spl0_1),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f85])).
% 0.08/0.30 fof(f87,plain,(
% 0.08/0.30 $false|~spl0_3),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f74,f62])).
% 0.08/0.30 fof(f88,plain,(
% 0.08/0.30 ~spl0_3),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f87])).
% 0.08/0.30 fof(f89,plain,(
% 0.08/0.30 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(truthteller(X0))|~spl0_0|~spl0_2)),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f71,f64])).
% 0.08/0.30 fof(f90,plain,(
% 0.08/0.30 ![X0,X1]: (~ask_1_if_2(X0,X1)|~a_truth(liar(X0))|~spl0_5|~spl0_4)),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f78,f82])).
% 0.08/0.30 fof(f91,plain,(
% 0.08/0.30 ~a_truth(liar(c))|~spl0_5|~spl0_4),
% 0.08/0.30 inference(resolution,[status(thm)],[f61,f90])).
% 0.08/0.30 fof(f92,plain,(
% 0.08/0.30 a_truth(truthteller(c))|~spl0_5|~spl0_4),
% 0.08/0.30 inference(resolution,[status(thm)],[f91,f25])).
% 0.08/0.30 fof(f94,plain,(
% 0.08/0.30 ![X0]: (~ask_1_if_2(c,X0)|~spl0_5|~spl0_4|~spl0_0|~spl0_2)),
% 0.08/0.30 inference(resolution,[status(thm)],[f92,f89])).
% 0.08/0.30 fof(f96,plain,(
% 0.08/0.30 $false|~spl0_5|~spl0_4|~spl0_0|~spl0_2),
% 0.08/0.30 inference(backward_subsumption_resolution,[status(thm)],[f61,f94])).
% 0.08/0.30 fof(f97,plain,(
% 0.08/0.30 ~spl0_5|~spl0_4|~spl0_0|~spl0_2),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f96])).
% 0.08/0.30 fof(f98,plain,(
% 0.08/0.30 $false),
% 0.08/0.30 inference(sat_refutation,[status(thm)],[f69,f76,f80,f84,f86,f88,f97])).
% 0.08/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.30 % Elapsed time: 0.014855 seconds
% 0.08/0.30 % CPU time: 0.041140 seconds
% 0.08/0.30 % Total memory used: 2.696 MB
% 0.08/0.30 % Net memory used: 2.652 MB
%------------------------------------------------------------------------------