TSTP Solution File: SYN059+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:45:50 EDT 2023
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN059+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:55:44 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.34 % Refutation found
% 0.13/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.34 fof(f1,axiom,(
% 0.13/0.34 (? [X] : big_f(X) )),
% 0.13/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.34 fof(f2,axiom,(
% 0.13/0.34 (? [Y] : big_g(Y) )),
% 0.13/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.34 fof(f3,conjecture,(
% 0.13/0.34 ( ( (! [X] :( big_f(X)=> big_h(X) ))& (! [U] :( big_g(U)=> big_j(U) ) ))<=> (! [W,Y] :( ( big_f(W)& big_g(Y) )=> ( big_h(W)& big_j(Y) ) ) )) ),
% 0.13/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.34 fof(f4,negated_conjecture,(
% 0.13/0.34 ~(( ( (! [X] :( big_f(X)=> big_h(X) ))& (! [U] :( big_g(U)=> big_j(U) ) ))<=> (! [W,Y] :( ( big_f(W)& big_g(Y) )=> ( big_h(W)& big_j(Y) ) ) )) )),
% 0.13/0.34 inference(negated_conjecture,[status(cth)],[f3])).
% 0.13/0.34 fof(f5,plain,(
% 0.13/0.34 big_f(sk0_0)),
% 0.13/0.34 inference(skolemization,[status(esa)],[f1])).
% 0.13/0.34 fof(f6,plain,(
% 0.13/0.34 big_f(sk0_0)),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.34 fof(f7,plain,(
% 0.13/0.34 big_g(sk0_1)),
% 0.13/0.34 inference(skolemization,[status(esa)],[f2])).
% 0.13/0.34 fof(f8,plain,(
% 0.13/0.34 big_g(sk0_1)),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.34 fof(f9,plain,(
% 0.13/0.34 (((![X]: (~big_f(X)|big_h(X)))&(![U]: (~big_g(U)|big_j(U))))<~>(![W,Y]: ((~big_f(W)|~big_g(Y))|(big_h(W)&big_j(Y)))))),
% 0.13/0.34 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.34 fof(f10,plain,(
% 0.13/0.34 ![X]: (pd0_0(X)<=>(~big_f(X)|big_h(X)))),
% 0.13/0.34 introduced(predicate_definition,[f9])).
% 0.13/0.34 fof(f11,plain,(
% 0.13/0.34 ![U]: (pd0_1(U)<=>(~big_g(U)|big_j(U)))),
% 0.13/0.34 introduced(predicate_definition,[f9])).
% 0.13/0.34 fof(f12,plain,(
% 0.13/0.34 ((![X]: pd0_0(X))&(![U]: pd0_1(U)))<~>(![W,Y]: ((~big_f(W)|~big_g(Y))|(big_h(W)&big_j(Y))))),
% 0.13/0.34 inference(formula_renaming,[status(thm)],[f9,f11,f10])).
% 0.13/0.34 fof(f13,plain,(
% 0.13/0.34 (((![X]: pd0_0(X))&(![U]: pd0_1(U)))|(![W,Y]: ((~big_f(W)|~big_g(Y))|(big_h(W)&big_j(Y)))))&(((?[X]: ~pd0_0(X))|(?[U]: ~pd0_1(U)))|(?[W,Y]: ((big_f(W)&big_g(Y))&(~big_h(W)|~big_j(Y)))))),
% 0.13/0.34 inference(NNF_transformation,[status(esa)],[f12])).
% 0.13/0.34 fof(f14,plain,(
% 0.13/0.34 (((![X]: pd0_0(X))&(![U]: pd0_1(U)))|(![W,Y]: ((~big_f(W)|~big_g(Y))|(big_h(W)&big_j(Y)))))&((~pd0_0(sk0_2)|~pd0_1(sk0_3))|((big_f(sk0_4)&big_g(sk0_5))&(~big_h(sk0_4)|~big_j(sk0_5))))),
% 0.13/0.34 inference(skolemization,[status(esa)],[f13])).
% 0.13/0.34 fof(f15,plain,(
% 0.13/0.34 ![X0,X1,X2]: (pd0_0(X0)|~big_f(X1)|~big_g(X2)|big_h(X1))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.34 fof(f18,plain,(
% 0.13/0.34 ![X0,X1,X2]: (pd0_1(X0)|~big_f(X1)|~big_g(X2)|big_j(X2))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.34 fof(f19,plain,(
% 0.13/0.34 ~pd0_0(sk0_2)|~pd0_1(sk0_3)|big_f(sk0_4)),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.34 fof(f20,plain,(
% 0.13/0.34 ~pd0_0(sk0_2)|~pd0_1(sk0_3)|big_g(sk0_5)),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.34 fof(f21,plain,(
% 0.13/0.34 ~pd0_0(sk0_2)|~pd0_1(sk0_3)|~big_h(sk0_4)|~big_j(sk0_5)),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.34 fof(f22,plain,(
% 0.13/0.34 ![X]: ((~pd0_0(X)|(~big_f(X)|big_h(X)))&(pd0_0(X)|(big_f(X)&~big_h(X))))),
% 0.13/0.34 inference(NNF_transformation,[status(esa)],[f10])).
% 0.13/0.34 fof(f23,plain,(
% 0.13/0.34 (![X]: (~pd0_0(X)|(~big_f(X)|big_h(X))))&(![X]: (pd0_0(X)|(big_f(X)&~big_h(X))))),
% 0.13/0.34 inference(miniscoping,[status(esa)],[f22])).
% 0.13/0.34 fof(f24,plain,(
% 0.13/0.34 ![X0]: (~pd0_0(X0)|~big_f(X0)|big_h(X0))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.34 fof(f25,plain,(
% 0.13/0.34 ![X0]: (pd0_0(X0)|big_f(X0))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.34 fof(f26,plain,(
% 0.13/0.34 ![X0]: (pd0_0(X0)|~big_h(X0))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.34 fof(f27,plain,(
% 0.13/0.34 ![U]: ((~pd0_1(U)|(~big_g(U)|big_j(U)))&(pd0_1(U)|(big_g(U)&~big_j(U))))),
% 0.13/0.34 inference(NNF_transformation,[status(esa)],[f11])).
% 0.13/0.34 fof(f28,plain,(
% 0.13/0.34 (![U]: (~pd0_1(U)|(~big_g(U)|big_j(U))))&(![U]: (pd0_1(U)|(big_g(U)&~big_j(U))))),
% 0.13/0.34 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.34 fof(f29,plain,(
% 0.13/0.34 ![X0]: (~pd0_1(X0)|~big_g(X0)|big_j(X0))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.34 fof(f30,plain,(
% 0.13/0.34 ![X0]: (pd0_1(X0)|big_g(X0))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.34 fof(f31,plain,(
% 0.13/0.34 ![X0]: (pd0_1(X0)|~big_j(X0))),
% 0.13/0.34 inference(cnf_transformation,[status(esa)],[f28])).
% 0.13/0.34 fof(f32,plain,(
% 0.13/0.34 spl0_0 <=> pd0_0(X0)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f33,plain,(
% 0.13/0.34 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.13/0.34 inference(component_clause,[status(thm)],[f32])).
% 0.13/0.34 fof(f35,plain,(
% 0.13/0.34 spl0_1 <=> ~big_f(X1)|big_h(X1)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f36,plain,(
% 0.13/0.34 ![X0]: (~big_f(X0)|big_h(X0)|~spl0_1)),
% 0.13/0.34 inference(component_clause,[status(thm)],[f35])).
% 0.13/0.34 fof(f38,plain,(
% 0.13/0.34 spl0_2 <=> ~big_g(X2)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f39,plain,(
% 0.13/0.34 ![X0]: (~big_g(X0)|~spl0_2)),
% 0.13/0.34 inference(component_clause,[status(thm)],[f38])).
% 0.13/0.34 fof(f41,plain,(
% 0.13/0.34 spl0_0|spl0_1|spl0_2),
% 0.13/0.34 inference(split_clause,[status(thm)],[f15,f32,f35,f38])).
% 0.13/0.34 fof(f42,plain,(
% 0.13/0.34 spl0_3 <=> ~big_f(X1)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f43,plain,(
% 0.13/0.34 ![X0]: (~big_f(X0)|~spl0_3)),
% 0.13/0.34 inference(component_clause,[status(thm)],[f42])).
% 0.13/0.34 fof(f45,plain,(
% 0.13/0.34 spl0_4 <=> ~big_g(X2)|big_j(X2)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f46,plain,(
% 0.13/0.34 ![X0]: (~big_g(X0)|big_j(X0)|~spl0_4)),
% 0.13/0.34 inference(component_clause,[status(thm)],[f45])).
% 0.13/0.34 fof(f49,plain,(
% 0.13/0.34 spl0_5 <=> pd0_1(X0)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f50,plain,(
% 0.13/0.34 ![X0]: (pd0_1(X0)|~spl0_5)),
% 0.13/0.34 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.34 fof(f53,plain,(
% 0.13/0.34 spl0_5|spl0_3|spl0_4),
% 0.13/0.34 inference(split_clause,[status(thm)],[f18,f49,f42,f45])).
% 0.13/0.34 fof(f54,plain,(
% 0.13/0.34 spl0_6 <=> pd0_0(sk0_2)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f56,plain,(
% 0.13/0.34 ~pd0_0(sk0_2)|spl0_6),
% 0.13/0.34 inference(component_clause,[status(thm)],[f54])).
% 0.13/0.34 fof(f57,plain,(
% 0.13/0.34 spl0_7 <=> pd0_1(sk0_3)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f59,plain,(
% 0.13/0.34 ~pd0_1(sk0_3)|spl0_7),
% 0.13/0.34 inference(component_clause,[status(thm)],[f57])).
% 0.13/0.34 fof(f60,plain,(
% 0.13/0.34 spl0_8 <=> big_f(sk0_4)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f61,plain,(
% 0.13/0.34 big_f(sk0_4)|~spl0_8),
% 0.13/0.34 inference(component_clause,[status(thm)],[f60])).
% 0.13/0.34 fof(f63,plain,(
% 0.13/0.34 ~spl0_6|~spl0_7|spl0_8),
% 0.13/0.34 inference(split_clause,[status(thm)],[f19,f54,f57,f60])).
% 0.13/0.34 fof(f64,plain,(
% 0.13/0.34 spl0_9 <=> big_g(sk0_5)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f65,plain,(
% 0.13/0.34 big_g(sk0_5)|~spl0_9),
% 0.13/0.34 inference(component_clause,[status(thm)],[f64])).
% 0.13/0.34 fof(f67,plain,(
% 0.13/0.34 ~spl0_6|~spl0_7|spl0_9),
% 0.13/0.34 inference(split_clause,[status(thm)],[f20,f54,f57,f64])).
% 0.13/0.34 fof(f68,plain,(
% 0.13/0.34 spl0_10 <=> big_h(sk0_4)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f70,plain,(
% 0.13/0.34 ~big_h(sk0_4)|spl0_10),
% 0.13/0.34 inference(component_clause,[status(thm)],[f68])).
% 0.13/0.34 fof(f71,plain,(
% 0.13/0.34 spl0_11 <=> big_j(sk0_5)),
% 0.13/0.34 introduced(split_symbol_definition)).
% 0.13/0.34 fof(f73,plain,(
% 0.13/0.34 ~big_j(sk0_5)|spl0_11),
% 0.13/0.34 inference(component_clause,[status(thm)],[f71])).
% 0.13/0.34 fof(f74,plain,(
% 0.13/0.34 ~spl0_6|~spl0_7|~spl0_10|~spl0_11),
% 0.13/0.34 inference(split_clause,[status(thm)],[f21,f54,f57,f68,f71])).
% 0.13/0.34 fof(f75,plain,(
% 0.13/0.34 $false|~spl0_3),
% 0.13/0.34 inference(backward_subsumption_resolution,[status(thm)],[f6,f43])).
% 0.13/0.34 fof(f76,plain,(
% 0.13/0.34 ~spl0_3),
% 0.13/0.34 inference(contradiction_clause,[status(thm)],[f75])).
% 0.13/0.34 fof(f79,plain,(
% 0.13/0.34 ![X0]: (~big_f(X0)|big_h(X0)|~spl0_0)),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f24,f33])).
% 0.13/0.34 fof(f80,plain,(
% 0.13/0.34 $false|~spl0_0|spl0_6),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f56,f33])).
% 0.13/0.34 fof(f81,plain,(
% 0.13/0.34 ~spl0_0|spl0_6),
% 0.13/0.34 inference(contradiction_clause,[status(thm)],[f80])).
% 0.13/0.34 fof(f82,plain,(
% 0.13/0.34 big_g(sk0_3)|spl0_7),
% 0.13/0.34 inference(resolution,[status(thm)],[f59,f30])).
% 0.13/0.34 fof(f83,plain,(
% 0.13/0.34 ~big_j(sk0_3)|spl0_7),
% 0.13/0.34 inference(resolution,[status(thm)],[f59,f31])).
% 0.13/0.34 fof(f84,plain,(
% 0.13/0.34 ~big_g(sk0_3)|~spl0_4|spl0_7),
% 0.13/0.34 inference(resolution,[status(thm)],[f46,f83])).
% 0.13/0.34 fof(f85,plain,(
% 0.13/0.34 $false|~spl0_4|spl0_7),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f84,f82])).
% 0.13/0.34 fof(f86,plain,(
% 0.13/0.34 ~spl0_4|spl0_7),
% 0.13/0.34 inference(contradiction_clause,[status(thm)],[f85])).
% 0.13/0.34 fof(f87,plain,(
% 0.13/0.34 ![X0]: (~big_g(X0)|big_j(X0)|~spl0_5)),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f29,f50])).
% 0.13/0.34 fof(f89,plain,(
% 0.13/0.34 ~big_f(sk0_4)|~spl0_0|spl0_10),
% 0.13/0.34 inference(resolution,[status(thm)],[f79,f70])).
% 0.13/0.34 fof(f90,plain,(
% 0.13/0.34 $false|~spl0_8|~spl0_0|spl0_10),
% 0.13/0.34 inference(forward_subsumption_resolution,[status(thm)],[f89,f61])).
% 0.13/0.34 fof(f91,plain,(
% 0.13/0.34 ~spl0_8|~spl0_0|spl0_10),
% 0.13/0.34 inference(contradiction_clause,[status(thm)],[f90])).
% 0.13/0.35 fof(f92,plain,(
% 0.13/0.35 ~big_h(sk0_2)|spl0_6),
% 0.13/0.35 inference(resolution,[status(thm)],[f56,f26])).
% 0.13/0.35 fof(f93,plain,(
% 0.13/0.35 big_f(sk0_2)|spl0_6),
% 0.13/0.35 inference(resolution,[status(thm)],[f56,f25])).
% 0.13/0.35 fof(f94,plain,(
% 0.13/0.35 ~big_f(sk0_2)|~spl0_1|spl0_6),
% 0.13/0.35 inference(resolution,[status(thm)],[f36,f92])).
% 0.13/0.35 fof(f95,plain,(
% 0.13/0.35 $false|~spl0_1|spl0_6),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f94,f93])).
% 0.13/0.35 fof(f96,plain,(
% 0.13/0.35 ~spl0_1|spl0_6),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f95])).
% 0.13/0.35 fof(f97,plain,(
% 0.13/0.35 $false|~spl0_2),
% 0.13/0.35 inference(backward_subsumption_resolution,[status(thm)],[f8,f39])).
% 0.13/0.35 fof(f98,plain,(
% 0.13/0.35 ~spl0_2),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f97])).
% 0.13/0.35 fof(f99,plain,(
% 0.13/0.35 ~big_g(sk0_5)|~spl0_4|spl0_11),
% 0.13/0.35 inference(resolution,[status(thm)],[f46,f73])).
% 0.13/0.35 fof(f100,plain,(
% 0.13/0.35 $false|~spl0_9|~spl0_4|spl0_11),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f99,f65])).
% 0.13/0.35 fof(f101,plain,(
% 0.13/0.35 ~spl0_9|~spl0_4|spl0_11),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f100])).
% 0.13/0.35 fof(f102,plain,(
% 0.13/0.35 spl0_4|~spl0_5),
% 0.13/0.35 inference(split_clause,[status(thm)],[f87,f45,f49])).
% 0.13/0.35 fof(f105,plain,(
% 0.13/0.35 ~big_f(sk0_4)|~spl0_1|spl0_10),
% 0.13/0.35 inference(resolution,[status(thm)],[f36,f70])).
% 0.13/0.35 fof(f106,plain,(
% 0.13/0.35 $false|~spl0_8|~spl0_1|spl0_10),
% 0.13/0.35 inference(forward_subsumption_resolution,[status(thm)],[f105,f61])).
% 0.13/0.35 fof(f107,plain,(
% 0.13/0.35 ~spl0_8|~spl0_1|spl0_10),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f106])).
% 0.13/0.35 fof(f108,plain,(
% 0.13/0.35 $false),
% 0.13/0.35 inference(sat_refutation,[status(thm)],[f41,f53,f63,f67,f74,f76,f81,f86,f91,f96,f98,f101,f102,f107])).
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.56 % Elapsed time: 0.010049 seconds
% 0.20/0.56 % CPU time: 0.028164 seconds
% 0.20/0.56 % Memory used: 1.944 MB
%------------------------------------------------------------------------------