TSTP Solution File: SYN084+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:45:57 EDT 2023
% Result : Theorem 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN084+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 10:19:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.34 % Drodi V3.5.1
% 0.20/0.35 % Refutation found
% 0.20/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.35 fof(f1,conjecture,(
% 0.20/0.35 ( (! [X] :( ( big_p(a)& ( big_p(X)=> big_p(f(X)) ) )=> big_p(f(f(X))) ))<=> (! [X1] :( ( ~ big_p(a)| big_p(X1)| big_p(f(f(X1))) )& ( ~ big_p(a)| ~ big_p(f(X1))| big_p(f(f(X1))) ) ) )) ),
% 0.20/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f2,negated_conjecture,(
% 0.20/0.35 ~(( (! [X] :( ( big_p(a)& ( big_p(X)=> big_p(f(X)) ) )=> big_p(f(f(X))) ))<=> (! [X1] :( ( ~ big_p(a)| big_p(X1)| big_p(f(f(X1))) )& ( ~ big_p(a)| ~ big_p(f(X1))| big_p(f(f(X1))) ) ) )) )),
% 0.20/0.35 inference(negated_conjecture,[status(cth)],[f1])).
% 0.20/0.35 fof(f3,plain,(
% 0.20/0.35 ((![X]: ((~big_p(a)|(big_p(X)&~big_p(f(X))))|big_p(f(f(X)))))<~>(![X1]: (((~big_p(a)|big_p(X1))|big_p(f(f(X1))))&((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))),
% 0.20/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.35 fof(f4,plain,(
% 0.20/0.35 ![X]: (pd0_0(X)<=>((~big_p(a)|(big_p(X)&~big_p(f(X))))|big_p(f(f(X)))))),
% 0.20/0.35 introduced(predicate_definition,[f3])).
% 0.20/0.35 fof(f5,plain,(
% 0.20/0.35 ![X1]: (pd0_1(X1)<=>((~big_p(a)|big_p(X1))|big_p(f(f(X1)))))),
% 0.20/0.35 introduced(predicate_definition,[f3])).
% 0.20/0.35 fof(f6,plain,(
% 0.20/0.35 (![X]: pd0_0(X))<~>(![X1]: (pd0_1(X1)&((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1))))))),
% 0.20/0.35 inference(formula_renaming,[status(thm)],[f3,f5,f4])).
% 0.20/0.35 fof(f7,plain,(
% 0.20/0.35 ((![X]: pd0_0(X))|(![X1]: (pd0_1(X1)&((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))&((?[X]: ~pd0_0(X))|(?[X1]: (~pd0_1(X1)|((big_p(a)&big_p(f(X1)))&~big_p(f(f(X1)))))))),
% 0.20/0.35 inference(NNF_transformation,[status(esa)],[f6])).
% 0.20/0.35 fof(f8,plain,(
% 0.20/0.35 ((![X]: pd0_0(X))|((![X1]: pd0_1(X1))&(![X1]: ((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))&((?[X]: ~pd0_0(X))|((?[X1]: ~pd0_1(X1))|(?[X1]: ((big_p(a)&big_p(f(X1)))&~big_p(f(f(X1)))))))),
% 0.20/0.35 inference(miniscoping,[status(esa)],[f7])).
% 0.20/0.35 fof(f9,plain,(
% 0.20/0.35 ((![X]: pd0_0(X))|((![X1]: pd0_1(X1))&(![X1]: ((~big_p(a)|~big_p(f(X1)))|big_p(f(f(X1)))))))&(~pd0_0(sk0_0)|(~pd0_1(sk0_1)|((big_p(a)&big_p(f(sk0_2)))&~big_p(f(f(sk0_2))))))),
% 0.20/0.35 inference(skolemization,[status(esa)],[f8])).
% 0.20/0.35 fof(f10,plain,(
% 0.20/0.35 ![X0,X1]: (pd0_0(X0)|pd0_1(X1))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.35 fof(f11,plain,(
% 0.20/0.35 ![X0,X1]: (pd0_0(X0)|~big_p(a)|~big_p(f(X1))|big_p(f(f(X1))))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.35 fof(f12,plain,(
% 0.20/0.35 ~pd0_0(sk0_0)|~pd0_1(sk0_1)|big_p(a)),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.35 fof(f13,plain,(
% 0.20/0.35 ~pd0_0(sk0_0)|~pd0_1(sk0_1)|big_p(f(sk0_2))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.35 fof(f14,plain,(
% 0.20/0.35 ~pd0_0(sk0_0)|~pd0_1(sk0_1)|~big_p(f(f(sk0_2)))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.35 fof(f15,plain,(
% 0.20/0.35 ![X]: ((~pd0_0(X)|((~big_p(a)|(big_p(X)&~big_p(f(X))))|big_p(f(f(X)))))&(pd0_0(X)|((big_p(a)&(~big_p(X)|big_p(f(X))))&~big_p(f(f(X))))))),
% 0.20/0.35 inference(NNF_transformation,[status(esa)],[f4])).
% 0.20/0.35 fof(f16,plain,(
% 0.20/0.35 (![X]: (~pd0_0(X)|((~big_p(a)|(big_p(X)&~big_p(f(X))))|big_p(f(f(X))))))&(![X]: (pd0_0(X)|((big_p(a)&(~big_p(X)|big_p(f(X))))&~big_p(f(f(X))))))),
% 0.20/0.35 inference(miniscoping,[status(esa)],[f15])).
% 0.20/0.35 fof(f17,plain,(
% 0.20/0.35 ![X0]: (~pd0_0(X0)|~big_p(a)|big_p(X0)|big_p(f(f(X0))))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.35 fof(f18,plain,(
% 0.20/0.35 ![X0]: (~pd0_0(X0)|~big_p(a)|~big_p(f(X0))|big_p(f(f(X0))))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.35 fof(f19,plain,(
% 0.20/0.35 ![X0]: (pd0_0(X0)|big_p(a))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.35 fof(f20,plain,(
% 0.20/0.35 ![X0]: (pd0_0(X0)|~big_p(X0)|big_p(f(X0)))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.35 fof(f21,plain,(
% 0.20/0.35 ![X0]: (pd0_0(X0)|~big_p(f(f(X0))))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.35 fof(f22,plain,(
% 0.20/0.35 ![X1]: ((~pd0_1(X1)|((~big_p(a)|big_p(X1))|big_p(f(f(X1)))))&(pd0_1(X1)|((big_p(a)&~big_p(X1))&~big_p(f(f(X1))))))),
% 0.20/0.35 inference(NNF_transformation,[status(esa)],[f5])).
% 0.20/0.35 fof(f23,plain,(
% 0.20/0.35 (![X1]: (~pd0_1(X1)|((~big_p(a)|big_p(X1))|big_p(f(f(X1))))))&(![X1]: (pd0_1(X1)|((big_p(a)&~big_p(X1))&~big_p(f(f(X1))))))),
% 0.20/0.35 inference(miniscoping,[status(esa)],[f22])).
% 0.20/0.35 fof(f24,plain,(
% 0.20/0.35 ![X0]: (~pd0_1(X0)|~big_p(a)|big_p(X0)|big_p(f(f(X0))))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.35 fof(f25,plain,(
% 0.20/0.35 ![X0]: (pd0_1(X0)|big_p(a))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.35 fof(f26,plain,(
% 0.20/0.35 ![X0]: (pd0_1(X0)|~big_p(X0))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.35 fof(f27,plain,(
% 0.20/0.35 ![X0]: (pd0_1(X0)|~big_p(f(f(X0))))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.35 fof(f28,plain,(
% 0.20/0.35 spl0_0 <=> pd0_0(X0)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f29,plain,(
% 0.20/0.35 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f28])).
% 0.20/0.35 fof(f31,plain,(
% 0.20/0.35 spl0_1 <=> pd0_1(X1)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f32,plain,(
% 0.20/0.35 ![X0]: (pd0_1(X0)|~spl0_1)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f31])).
% 0.20/0.35 fof(f34,plain,(
% 0.20/0.35 spl0_0|spl0_1),
% 0.20/0.35 inference(split_clause,[status(thm)],[f10,f28,f31])).
% 0.20/0.35 fof(f35,plain,(
% 0.20/0.35 spl0_2 <=> big_p(a)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f38,plain,(
% 0.20/0.35 spl0_3 <=> ~big_p(f(X1))|big_p(f(f(X1)))),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f39,plain,(
% 0.20/0.35 ![X0]: (~big_p(f(X0))|big_p(f(f(X0)))|~spl0_3)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f38])).
% 0.20/0.35 fof(f41,plain,(
% 0.20/0.35 spl0_0|~spl0_2|spl0_3),
% 0.20/0.35 inference(split_clause,[status(thm)],[f11,f28,f35,f38])).
% 0.20/0.35 fof(f42,plain,(
% 0.20/0.35 spl0_4 <=> pd0_0(sk0_0)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f44,plain,(
% 0.20/0.35 ~pd0_0(sk0_0)|spl0_4),
% 0.20/0.35 inference(component_clause,[status(thm)],[f42])).
% 0.20/0.35 fof(f45,plain,(
% 0.20/0.35 spl0_5 <=> pd0_1(sk0_1)),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f47,plain,(
% 0.20/0.35 ~pd0_1(sk0_1)|spl0_5),
% 0.20/0.35 inference(component_clause,[status(thm)],[f45])).
% 0.20/0.35 fof(f48,plain,(
% 0.20/0.35 ~spl0_4|~spl0_5|spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f12,f42,f45,f35])).
% 0.20/0.35 fof(f49,plain,(
% 0.20/0.35 spl0_6 <=> big_p(f(sk0_2))),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f50,plain,(
% 0.20/0.35 big_p(f(sk0_2))|~spl0_6),
% 0.20/0.35 inference(component_clause,[status(thm)],[f49])).
% 0.20/0.35 fof(f52,plain,(
% 0.20/0.35 ~spl0_4|~spl0_5|spl0_6),
% 0.20/0.35 inference(split_clause,[status(thm)],[f13,f42,f45,f49])).
% 0.20/0.35 fof(f53,plain,(
% 0.20/0.35 spl0_7 <=> big_p(f(f(sk0_2)))),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f55,plain,(
% 0.20/0.35 ~big_p(f(f(sk0_2)))|spl0_7),
% 0.20/0.35 inference(component_clause,[status(thm)],[f53])).
% 0.20/0.35 fof(f56,plain,(
% 0.20/0.35 ~spl0_4|~spl0_5|~spl0_7),
% 0.20/0.35 inference(split_clause,[status(thm)],[f14,f42,f45,f53])).
% 0.20/0.35 fof(f57,plain,(
% 0.20/0.35 spl0_8 <=> ~pd0_0(X0)|big_p(X0)|big_p(f(f(X0)))),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f58,plain,(
% 0.20/0.35 ![X0]: (~pd0_0(X0)|big_p(X0)|big_p(f(f(X0)))|~spl0_8)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f57])).
% 0.20/0.35 fof(f60,plain,(
% 0.20/0.35 spl0_8|~spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f17,f57,f35])).
% 0.20/0.35 fof(f61,plain,(
% 0.20/0.35 spl0_9 <=> ~pd0_0(X0)|~big_p(f(X0))|big_p(f(f(X0)))),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f62,plain,(
% 0.20/0.35 ![X0]: (~pd0_0(X0)|~big_p(f(X0))|big_p(f(f(X0)))|~spl0_9)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f61])).
% 0.20/0.35 fof(f64,plain,(
% 0.20/0.35 spl0_9|~spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f18,f61,f35])).
% 0.20/0.35 fof(f65,plain,(
% 0.20/0.35 spl0_0|spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f19,f28,f35])).
% 0.20/0.35 fof(f66,plain,(
% 0.20/0.35 spl0_10 <=> ~pd0_1(X0)|big_p(X0)|big_p(f(f(X0)))),
% 0.20/0.35 introduced(split_symbol_definition)).
% 0.20/0.35 fof(f67,plain,(
% 0.20/0.35 ![X0]: (~pd0_1(X0)|big_p(X0)|big_p(f(f(X0)))|~spl0_10)),
% 0.20/0.35 inference(component_clause,[status(thm)],[f66])).
% 0.20/0.35 fof(f69,plain,(
% 0.20/0.35 spl0_10|~spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f24,f66,f35])).
% 0.20/0.35 fof(f70,plain,(
% 0.20/0.35 spl0_1|spl0_2),
% 0.20/0.35 inference(split_clause,[status(thm)],[f25,f31,f35])).
% 0.20/0.35 fof(f71,plain,(
% 0.20/0.35 ![X0]: (big_p(X0)|big_p(f(f(X0)))|~spl0_0|~spl0_8)),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f58,f29])).
% 0.20/0.35 fof(f72,plain,(
% 0.20/0.35 ![X0]: (~big_p(f(X0))|big_p(f(f(X0)))|~spl0_0|~spl0_9)),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f62,f29])).
% 0.20/0.35 fof(f75,plain,(
% 0.20/0.35 ![X0]: (big_p(X0)|pd0_1(X0)|~spl0_0|~spl0_8)),
% 0.20/0.35 inference(resolution,[status(thm)],[f71,f27])).
% 0.20/0.35 fof(f76,plain,(
% 0.20/0.35 ![X0]: (pd0_1(X0)|~spl0_0|~spl0_8)),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f75,f26])).
% 0.20/0.35 fof(f77,plain,(
% 0.20/0.35 $false|~spl0_0|~spl0_8|spl0_5),
% 0.20/0.35 inference(backward_subsumption_resolution,[status(thm)],[f47,f76])).
% 0.20/0.35 fof(f78,plain,(
% 0.20/0.35 ~spl0_0|~spl0_8|spl0_5),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f77])).
% 0.20/0.35 fof(f79,plain,(
% 0.20/0.35 $false|~spl0_0|spl0_4),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f44,f29])).
% 0.20/0.35 fof(f80,plain,(
% 0.20/0.35 ~spl0_0|spl0_4),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f79])).
% 0.20/0.35 fof(f82,plain,(
% 0.20/0.35 ~big_p(f(sk0_2))|~spl0_0|~spl0_9|spl0_7),
% 0.20/0.35 inference(resolution,[status(thm)],[f72,f55])).
% 0.20/0.35 fof(f83,plain,(
% 0.20/0.35 $false|~spl0_6|~spl0_0|~spl0_9|spl0_7),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f82,f50])).
% 0.20/0.35 fof(f84,plain,(
% 0.20/0.35 ~spl0_6|~spl0_0|~spl0_9|spl0_7),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f83])).
% 0.20/0.35 fof(f85,plain,(
% 0.20/0.35 ![X0]: (big_p(X0)|big_p(f(f(X0)))|~spl0_1|~spl0_10)),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f67,f32])).
% 0.20/0.35 fof(f87,plain,(
% 0.20/0.35 ![X0]: (big_p(X0)|pd0_0(X0)|~spl0_1|~spl0_10)),
% 0.20/0.35 inference(resolution,[status(thm)],[f85,f21])).
% 0.20/0.35 fof(f88,plain,(
% 0.20/0.35 ![X0]: (pd0_0(X0)|big_p(f(X0))|~spl0_1|~spl0_10)),
% 0.20/0.35 inference(backward_subsumption_resolution,[status(thm)],[f20,f87])).
% 0.20/0.35 fof(f89,plain,(
% 0.20/0.35 ~big_p(f(sk0_2))|~spl0_3|spl0_7),
% 0.20/0.35 inference(resolution,[status(thm)],[f39,f55])).
% 0.20/0.35 fof(f90,plain,(
% 0.20/0.35 $false|~spl0_6|~spl0_3|spl0_7),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f89,f50])).
% 0.20/0.35 fof(f91,plain,(
% 0.20/0.35 ~spl0_6|~spl0_3|spl0_7),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f90])).
% 0.20/0.35 fof(f92,plain,(
% 0.20/0.35 ![X0]: (~big_p(f(X0))|pd0_0(X0)|~spl0_3)),
% 0.20/0.35 inference(resolution,[status(thm)],[f39,f21])).
% 0.20/0.35 fof(f93,plain,(
% 0.20/0.35 ![X0]: (pd0_0(X0)|~spl0_1|~spl0_10|~spl0_3)),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f92,f88])).
% 0.20/0.35 fof(f94,plain,(
% 0.20/0.35 $false|~spl0_1|spl0_5),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f47,f32])).
% 0.20/0.35 fof(f95,plain,(
% 0.20/0.35 ~spl0_1|spl0_5),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f94])).
% 0.20/0.35 fof(f96,plain,(
% 0.20/0.35 $false|~spl0_1|~spl0_10|~spl0_3|spl0_4),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f44,f93])).
% 0.20/0.35 fof(f97,plain,(
% 0.20/0.35 ~spl0_1|~spl0_10|~spl0_3|spl0_4),
% 0.20/0.35 inference(contradiction_clause,[status(thm)],[f96])).
% 0.20/0.35 fof(f98,plain,(
% 0.20/0.35 $false),
% 0.20/0.35 inference(sat_refutation,[status(thm)],[f34,f41,f48,f52,f56,f60,f64,f65,f69,f70,f78,f80,f84,f91,f95,f97])).
% 0.20/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.36 % Elapsed time: 0.020170 seconds
% 0.20/0.36 % CPU time: 0.031457 seconds
% 0.20/0.36 % Memory used: 2.177 MB
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