TSTP Solution File: SYN070-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:45:53 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN070-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:21:27 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,axiom,(
% 0.14/0.36 (![X]: (( ~ big_f(X)| big_f(f(X))| big_g(X) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f2,axiom,(
% 0.14/0.36 (![X]: (( ~ big_f(X)| big_h(f(X),X)| big_g(X) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,axiom,(
% 0.14/0.36 (![X]: (( ~ big_f(X)| ~ big_g(f(X))| big_g(X) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,axiom,(
% 0.14/0.36 (![X]: (( ~ big_f(X)| big_g(X)| big_f(a) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,axiom,(
% 0.14/0.36 (![X]: (( ~ big_f(X)| big_g(X)| ~ big_g(a) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f6,axiom,(
% 0.14/0.36 (![X,Y]: (( ~ big_f(X)| big_g(X)| ~ big_f(Y)| big_g(Y)| big_j(a,Y) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,axiom,(
% 0.14/0.36 (![X,Y]: (( ~ big_f(X)| ~ big_f(Y)| ~ big_h(X,Y)| ~ big_j(Y,X) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f8,negated_conjecture,(
% 0.14/0.36 big_f(b) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f9,negated_conjecture,(
% 0.14/0.36 ~ big_g(b) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f10,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_f(f(X0))|big_g(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.36 fof(f11,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_h(f(X0),X0)|big_g(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.36 fof(f12,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|~big_g(f(X0))|big_g(X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.36 fof(f13,plain,(
% 0.14/0.36 (![X]: (~big_f(X)|big_g(X)))|big_f(a)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|big_f(a))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.36 fof(f15,plain,(
% 0.14/0.36 (![X]: (~big_f(X)|big_g(X)))|~big_g(a)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.14/0.36 fof(f16,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|~big_g(a))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 ![Y]: ((((![X]: (~big_f(X)|big_g(X)))|~big_f(Y))|big_g(Y))|big_j(a,Y))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.14/0.36 fof(f18,plain,(
% 0.14/0.36 ![X0,X1]: (~big_f(X0)|big_g(X0)|~big_f(X1)|big_g(X1)|big_j(a,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.36 fof(f19,plain,(
% 0.14/0.36 ![X0,X1]: (~big_f(X0)|~big_f(X1)|~big_h(X0,X1)|~big_j(X1,X0))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.36 fof(f20,plain,(
% 0.14/0.36 big_f(b)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.36 fof(f21,plain,(
% 0.14/0.36 ~big_g(b)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.36 fof(f22,plain,(
% 0.14/0.36 spl0_0 <=> ~big_f(X0)|big_g(X0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f23,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|~spl0_0)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f22])).
% 0.14/0.36 fof(f25,plain,(
% 0.14/0.36 spl0_1 <=> big_f(a)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f28,plain,(
% 0.14/0.36 spl0_0|spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f14,f22,f25])).
% 0.14/0.36 fof(f29,plain,(
% 0.14/0.36 spl0_2 <=> big_g(a)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f32,plain,(
% 0.14/0.36 spl0_0|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f16,f22,f29])).
% 0.14/0.36 fof(f33,plain,(
% 0.14/0.36 spl0_3 <=> ~big_f(X1)|big_g(X1)|big_j(a,X1)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f34,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|big_j(a,X0)|~spl0_3)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f33])).
% 0.14/0.36 fof(f36,plain,(
% 0.14/0.36 spl0_0|spl0_3),
% 0.14/0.36 inference(split_clause,[status(thm)],[f18,f22,f33])).
% 0.14/0.36 fof(f37,plain,(
% 0.14/0.36 ~big_f(b)|~spl0_0),
% 0.14/0.36 inference(resolution,[status(thm)],[f23,f21])).
% 0.14/0.36 fof(f38,plain,(
% 0.14/0.36 $false|~spl0_0),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f37,f20])).
% 0.14/0.36 fof(f39,plain,(
% 0.14/0.36 ~spl0_0),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f38])).
% 0.14/0.36 fof(f40,plain,(
% 0.14/0.36 spl0_4 <=> ~big_f(X0)|big_g(X0)|~big_f(X0)|~big_h(X0,a)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f41,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|~big_f(X0)|~big_h(X0,a)|~spl0_4)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f40])).
% 0.14/0.36 fof(f43,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|~big_f(X0)|~big_f(a)|~big_h(X0,a)|~spl0_3)),
% 0.14/0.36 inference(resolution,[status(thm)],[f34,f19])).
% 0.14/0.36 fof(f44,plain,(
% 0.14/0.36 spl0_4|~spl0_1|~spl0_3),
% 0.14/0.36 inference(split_clause,[status(thm)],[f43,f40,f25,f33])).
% 0.14/0.36 fof(f45,plain,(
% 0.14/0.36 ![X0]: (~big_f(X0)|big_g(X0)|~big_h(X0,a)|~spl0_4)),
% 0.14/0.36 inference(duplicate_literals_removal,[status(esa)],[f41])).
% 0.14/0.36 fof(f46,plain,(
% 0.14/0.36 spl0_5 <=> big_f(f(a))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f48,plain,(
% 0.14/0.36 ~big_f(f(a))|spl0_5),
% 0.14/0.36 inference(component_clause,[status(thm)],[f46])).
% 0.14/0.36 fof(f49,plain,(
% 0.14/0.36 spl0_6 <=> big_g(f(a))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f50,plain,(
% 0.14/0.36 big_g(f(a))|~spl0_6),
% 0.14/0.36 inference(component_clause,[status(thm)],[f49])).
% 0.14/0.36 fof(f52,plain,(
% 0.14/0.36 ~big_f(f(a))|big_g(f(a))|~big_f(a)|big_g(a)|~spl0_4),
% 0.14/0.36 inference(resolution,[status(thm)],[f45,f11])).
% 0.14/0.36 fof(f53,plain,(
% 0.14/0.36 ~spl0_5|spl0_6|~spl0_1|spl0_2|~spl0_4),
% 0.14/0.36 inference(split_clause,[status(thm)],[f52,f46,f49,f25,f29,f40])).
% 0.14/0.36 fof(f54,plain,(
% 0.14/0.36 ~big_f(a)|big_g(a)|spl0_5),
% 0.14/0.36 inference(resolution,[status(thm)],[f48,f10])).
% 0.14/0.36 fof(f55,plain,(
% 0.14/0.36 ~spl0_1|spl0_2|spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f54,f25,f29,f46])).
% 0.14/0.36 fof(f56,plain,(
% 0.14/0.36 ~big_f(a)|big_g(a)|~spl0_6),
% 0.14/0.36 inference(resolution,[status(thm)],[f50,f12])).
% 0.14/0.36 fof(f57,plain,(
% 0.14/0.36 ~spl0_1|spl0_2|~spl0_6),
% 0.14/0.36 inference(split_clause,[status(thm)],[f56,f25,f29,f49])).
% 0.14/0.36 fof(f58,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f28,f32,f36,f39,f44,f53,f55,f57])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.017781 seconds
% 0.14/0.37 % CPU time: 0.028232 seconds
% 0.14/0.37 % Memory used: 1.851 MB
%------------------------------------------------------------------------------