TSTP Solution File: SYN069-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 0.08s 0.30s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n005.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 10:23:21 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Drodi V3.5.1
% 0.08/0.30 % Refutation found
% 0.08/0.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.30 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.30 fof(f1,axiom,(
% 0.08/0.30 (![X,Y]: (( ~ big_f(X)| big_g(f(X))| ~ big_g(Y)| ~ big_h(X,Y)| big_k(Y) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f2,axiom,(
% 0.08/0.30 (![X,Y]: (( ~ big_f(X)| big_h(X,f(X))| ~ big_g(Y)| ~ big_h(X,Y)| big_k(Y) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f3,axiom,(
% 0.08/0.30 (![X,Y]: (( ~ big_f(X)| ~ big_j(X,f(X))| ~ big_g(Y)| ~ big_h(X,Y)| big_k(Y) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f4,axiom,(
% 0.08/0.30 (![X]: (( ~ big_l(X)| ~ big_k(X) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f5,axiom,(
% 0.08/0.30 big_f(a) ),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f6,axiom,(
% 0.08/0.30 (![X]: (( ~ big_h(a,X)| big_l(X) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f7,axiom,(
% 0.08/0.30 (![X]: (( ~ big_g(X)| ~ big_h(a,X)| big_j(a,X) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f8,negated_conjecture,(
% 0.08/0.30 (![X]: (( ~ big_f(X)| big_g(g(X)) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f9,negated_conjecture,(
% 0.08/0.30 (![X]: (( ~ big_f(X)| big_h(X,g(X)) ) ))),
% 0.08/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.30 fof(f10,plain,(
% 0.08/0.30 ![Y]: ((![X]: (((~big_f(X)|big_g(f(X)))|~big_g(Y))|~big_h(X,Y)))|big_k(Y))),
% 0.08/0.30 inference(miniscoping,[status(esa)],[f1])).
% 0.08/0.30 fof(f11,plain,(
% 0.08/0.30 ![X0,X1]: (~big_f(X0)|big_g(f(X0))|~big_g(X1)|~big_h(X0,X1)|big_k(X1))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f10])).
% 0.08/0.30 fof(f12,plain,(
% 0.08/0.30 ![Y]: ((![X]: (((~big_f(X)|big_h(X,f(X)))|~big_g(Y))|~big_h(X,Y)))|big_k(Y))),
% 0.08/0.30 inference(miniscoping,[status(esa)],[f2])).
% 0.08/0.30 fof(f13,plain,(
% 0.08/0.30 ![X0,X1]: (~big_f(X0)|big_h(X0,f(X0))|~big_g(X1)|~big_h(X0,X1)|big_k(X1))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f12])).
% 0.08/0.30 fof(f14,plain,(
% 0.08/0.30 ![Y]: ((![X]: (((~big_f(X)|~big_j(X,f(X)))|~big_g(Y))|~big_h(X,Y)))|big_k(Y))),
% 0.08/0.30 inference(miniscoping,[status(esa)],[f3])).
% 0.08/0.30 fof(f15,plain,(
% 0.08/0.30 ![X0,X1]: (~big_f(X0)|~big_j(X0,f(X0))|~big_g(X1)|~big_h(X0,X1)|big_k(X1))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f14])).
% 0.08/0.30 fof(f16,plain,(
% 0.08/0.30 ![X0]: (~big_l(X0)|~big_k(X0))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f4])).
% 0.08/0.30 fof(f17,plain,(
% 0.08/0.30 big_f(a)),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f5])).
% 0.08/0.30 fof(f18,plain,(
% 0.08/0.30 ![X0]: (~big_h(a,X0)|big_l(X0))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f6])).
% 0.08/0.30 fof(f19,plain,(
% 0.08/0.30 ![X0]: (~big_g(X0)|~big_h(a,X0)|big_j(a,X0))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f7])).
% 0.08/0.30 fof(f20,plain,(
% 0.08/0.30 ![X0]: (~big_f(X0)|big_g(g(X0)))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f8])).
% 0.08/0.30 fof(f21,plain,(
% 0.08/0.30 ![X0]: (~big_f(X0)|big_h(X0,g(X0)))),
% 0.08/0.30 inference(cnf_transformation,[status(esa)],[f9])).
% 0.08/0.30 fof(f22,plain,(
% 0.08/0.30 ![X0]: (~big_h(a,X0)|~big_k(X0))),
% 0.08/0.30 inference(resolution,[status(thm)],[f18,f16])).
% 0.08/0.30 fof(f23,plain,(
% 0.08/0.30 spl0_0 <=> big_f(a)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f25,plain,(
% 0.08/0.30 ~big_f(a)|spl0_0),
% 0.08/0.30 inference(component_clause,[status(thm)],[f23])).
% 0.08/0.30 fof(f26,plain,(
% 0.08/0.30 spl0_1 <=> ~big_g(X0)|~big_h(a,X0)|big_k(X0)),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f27,plain,(
% 0.08/0.30 ![X0]: (~big_g(X0)|~big_h(a,X0)|big_k(X0)|~spl0_1)),
% 0.08/0.30 inference(component_clause,[status(thm)],[f26])).
% 0.08/0.30 fof(f29,plain,(
% 0.08/0.30 spl0_2 <=> big_g(f(a))),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f31,plain,(
% 0.08/0.30 ~big_g(f(a))|spl0_2),
% 0.08/0.30 inference(component_clause,[status(thm)],[f29])).
% 0.08/0.30 fof(f32,plain,(
% 0.08/0.30 spl0_3 <=> big_h(a,f(a))),
% 0.08/0.30 introduced(split_symbol_definition)).
% 0.08/0.30 fof(f34,plain,(
% 0.08/0.30 ~big_h(a,f(a))|spl0_3),
% 0.08/0.30 inference(component_clause,[status(thm)],[f32])).
% 0.08/0.30 fof(f35,plain,(
% 0.08/0.30 ![X0]: (~big_f(a)|~big_g(X0)|~big_h(a,X0)|big_k(X0)|~big_g(f(a))|~big_h(a,f(a)))),
% 0.08/0.30 inference(resolution,[status(thm)],[f15,f19])).
% 0.08/0.30 fof(f36,plain,(
% 0.08/0.30 ~spl0_0|spl0_1|~spl0_2|~spl0_3),
% 0.08/0.30 inference(split_clause,[status(thm)],[f35,f23,f26,f29,f32])).
% 0.08/0.30 fof(f43,plain,(
% 0.08/0.30 ![X0]: (~big_f(a)|~big_g(X0)|~big_h(a,X0)|big_k(X0)|spl0_3)),
% 0.08/0.30 inference(resolution,[status(thm)],[f34,f13])).
% 0.08/0.30 fof(f44,plain,(
% 0.08/0.30 ~spl0_0|spl0_1|spl0_3),
% 0.08/0.30 inference(split_clause,[status(thm)],[f43,f23,f26,f32])).
% 0.08/0.30 fof(f45,plain,(
% 0.08/0.30 $false|spl0_0),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f25,f17])).
% 0.08/0.30 fof(f46,plain,(
% 0.08/0.30 spl0_0),
% 0.08/0.30 inference(contradiction_clause,[status(thm)],[f45])).
% 0.08/0.30 fof(f47,plain,(
% 0.08/0.30 ![X0]: (~big_f(a)|~big_g(X0)|~big_h(a,X0)|big_k(X0)|spl0_2)),
% 0.08/0.30 inference(resolution,[status(thm)],[f31,f11])).
% 0.08/0.30 fof(f48,plain,(
% 0.08/0.30 ~spl0_0|spl0_1|spl0_2),
% 0.08/0.30 inference(split_clause,[status(thm)],[f47,f23,f26,f29])).
% 0.08/0.30 fof(f49,plain,(
% 0.08/0.30 ![X0]: (~big_g(X0)|~big_h(a,X0)|~spl0_1)),
% 0.08/0.30 inference(forward_subsumption_resolution,[status(thm)],[f27,f22])).
% 0.08/0.30 fof(f51,plain,(
% 0.08/0.30 ![X0]: (~big_h(a,g(X0))|~big_f(X0)|~spl0_1)),
% 0.08/0.30 inference(resolution,[status(thm)],[f49,f20])).
% 0.08/0.30 fof(f52,plain,(
% 0.08/0.30 ~big_f(a)|~big_f(a)|~spl0_1),
% 0.08/0.30 inference(resolution,[status(thm)],[f51,f21])).
% 0.08/0.30 fof(f53,plain,(
% 0.08/0.30 ~spl0_0|~spl0_1),
% 0.08/0.30 inference(split_clause,[status(thm)],[f52,f23,f26])).
% 0.08/0.30 fof(f54,plain,(
% 0.08/0.30 $false),
% 0.08/0.30 inference(sat_refutation,[status(thm)],[f36,f44,f46,f48,f53])).
% 0.08/0.30 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.53 % Elapsed time: 0.028435 seconds
% 0.14/0.53 % CPU time: 0.009597 seconds
% 0.14/0.53 % Memory used: 487.873 KB
%------------------------------------------------------------------------------