TSTP Solution File: SYN057+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN057+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:51:09 EDT 2024
% Result : Theorem 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.16 % Problem : SYN057+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.16 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8042.1875MB
% 0.09/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Apr 29 21:53:17 EDT 2024
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V3.6.0
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (? [X] :( big_f(X)& ~ big_g(X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (! [X] :( big_f(X)=> big_h(X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (! [X] :( ( big_j(X)& big_i(X) )=> big_f(X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,axiom,(
% 0.09/0.37 ( (? [X] :( big_h(X)& ~ big_g(X) ))=> (! [X1] :( big_i(X1)=> ~ big_h(X1) ) )) ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,conjecture,(
% 0.09/0.37 (! [X] :( big_j(X)=> ~ big_i(X) ) )),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,negated_conjecture,(
% 0.09/0.37 ~((! [X] :( big_j(X)=> ~ big_i(X) ) ))),
% 0.09/0.37 inference(negated_conjecture,[status(cth)],[f5])).
% 0.09/0.37 fof(f7,plain,(
% 0.09/0.37 (big_f(sk0_0)&~big_g(sk0_0))),
% 0.09/0.37 inference(skolemization,[status(esa)],[f1])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 big_f(sk0_0)),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 ~big_g(sk0_0)),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f7])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ![X]: (~big_f(X)|big_h(X))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.09/0.37 fof(f11,plain,(
% 0.09/0.37 ![X0]: (~big_f(X0)|big_h(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X]: ((~big_j(X)|~big_i(X))|big_f(X))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.09/0.37 fof(f13,plain,(
% 0.09/0.37 ![X0]: (~big_j(X0)|~big_i(X0)|big_f(X0))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 (![X]: (~big_h(X)|big_g(X)))|(![X1]: (~big_i(X1)|~big_h(X1)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.09/0.37 fof(f15,plain,(
% 0.09/0.37 ![X0,X1]: (~big_h(X0)|big_g(X0)|~big_i(X1)|~big_h(X1))),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.09/0.37 fof(f16,plain,(
% 0.09/0.37 (?[X]: (big_j(X)&big_i(X)))),
% 0.09/0.37 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 (big_j(sk0_1)&big_i(sk0_1))),
% 0.09/0.37 inference(skolemization,[status(esa)],[f16])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 big_j(sk0_1)),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.09/0.37 fof(f19,plain,(
% 0.09/0.37 big_i(sk0_1)),
% 0.09/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.09/0.37 fof(f20,plain,(
% 0.09/0.37 spl0_0 <=> ~big_h(X0)|big_g(X0)),
% 0.09/0.37 introduced(split_symbol_definition)).
% 0.09/0.37 fof(f21,plain,(
% 0.09/0.37 ![X0]: (~big_h(X0)|big_g(X0)|~spl0_0)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f20])).
% 0.09/0.37 fof(f23,plain,(
% 0.09/0.37 spl0_1 <=> ~big_i(X1)|~big_h(X1)),
% 0.09/0.37 introduced(split_symbol_definition)).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X0]: (~big_i(X0)|~big_h(X0)|~spl0_1)),
% 0.09/0.37 inference(component_clause,[status(thm)],[f23])).
% 0.09/0.37 fof(f26,plain,(
% 0.09/0.37 spl0_0|spl0_1),
% 0.09/0.37 inference(split_clause,[status(thm)],[f15,f20,f23])).
% 0.09/0.37 fof(f27,plain,(
% 0.09/0.37 spl0_2 <=> big_j(sk0_1)),
% 0.09/0.37 introduced(split_symbol_definition)).
% 0.09/0.37 fof(f29,plain,(
% 0.09/0.37 ~big_j(sk0_1)|spl0_2),
% 0.09/0.37 inference(component_clause,[status(thm)],[f27])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 spl0_3 <=> big_f(sk0_1)),
% 0.09/0.37 introduced(split_symbol_definition)).
% 0.09/0.37 fof(f31,plain,(
% 0.09/0.37 big_f(sk0_1)|~spl0_3),
% 0.09/0.37 inference(component_clause,[status(thm)],[f30])).
% 0.09/0.37 fof(f33,plain,(
% 0.09/0.37 ~big_j(sk0_1)|big_f(sk0_1)),
% 0.09/0.37 inference(resolution,[status(thm)],[f13,f19])).
% 0.09/0.37 fof(f34,plain,(
% 0.09/0.37 ~spl0_2|spl0_3),
% 0.09/0.37 inference(split_clause,[status(thm)],[f33,f27,f30])).
% 0.09/0.37 fof(f35,plain,(
% 0.09/0.37 $false|spl0_2),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f29,f18])).
% 0.09/0.37 fof(f36,plain,(
% 0.09/0.37 spl0_2),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f35])).
% 0.09/0.37 fof(f37,plain,(
% 0.09/0.37 big_h(sk0_0)),
% 0.09/0.37 inference(resolution,[status(thm)],[f11,f8])).
% 0.09/0.37 fof(f38,plain,(
% 0.09/0.37 big_h(sk0_1)|~spl0_3),
% 0.09/0.37 inference(resolution,[status(thm)],[f31,f11])).
% 0.09/0.37 fof(f40,plain,(
% 0.09/0.37 big_g(sk0_0)|~spl0_0),
% 0.09/0.37 inference(resolution,[status(thm)],[f21,f37])).
% 0.09/0.37 fof(f41,plain,(
% 0.09/0.37 $false|~spl0_0),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f40,f9])).
% 0.09/0.37 fof(f42,plain,(
% 0.09/0.37 ~spl0_0),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f41])).
% 0.09/0.37 fof(f43,plain,(
% 0.09/0.37 ~big_h(sk0_1)|~spl0_1),
% 0.09/0.37 inference(resolution,[status(thm)],[f24,f19])).
% 0.09/0.37 fof(f44,plain,(
% 0.09/0.37 $false|~spl0_3|~spl0_1),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f43,f38])).
% 0.09/0.37 fof(f45,plain,(
% 0.09/0.37 ~spl0_3|~spl0_1),
% 0.09/0.37 inference(contradiction_clause,[status(thm)],[f44])).
% 0.09/0.37 fof(f46,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(sat_refutation,[status(thm)],[f26,f34,f36,f42,f45])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.017339 seconds
% 0.13/0.40 % CPU time: 0.009804 seconds
% 0.13/0.40 % Total memory used: 1.826 MB
% 0.13/0.40 % Net memory used: 1.800 MB
%------------------------------------------------------------------------------