TSTP Solution File: SYN347+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Tue Apr 30 20:51:58 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN347+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 21:55:11 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,conjecture,(
% 0.12/0.36 (! [Z1,Z2] :(? [X1,X2] :(! [Y] :( ( ( big_f(X1,Y)<=> big_f(X2,Y) )<=> big_f(Z1,Z2) )| ( big_f(Z1,Y)<=> big_f(Z2,Y) ) ) )))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,negated_conjecture,(
% 0.12/0.36 ~((! [Z1,Z2] :(? [X1,X2] :(! [Y] :( ( ( big_f(X1,Y)<=> big_f(X2,Y) )<=> big_f(Z1,Z2) )| ( big_f(Z1,Y)<=> big_f(Z2,Y) ) ) ))))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.36 fof(f3,plain,(
% 0.12/0.36 (?[Z1,Z2]: ![X1,X2]: ?[Y]: (((big_f(X1,Y)<=>big_f(X2,Y))<~>big_f(Z1,Z2))&(big_f(Z1,Y)<~>big_f(Z2,Y))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.36 fof(f4,plain,(
% 0.12/0.36 ?[Z1,Z2]: ![X1,X2]: ?[Y]: (((((~big_f(X1,Y)|big_f(X2,Y))&(big_f(X1,Y)|~big_f(X2,Y)))|big_f(Z1,Z2))&(((~big_f(X1,Y)|~big_f(X2,Y))&(big_f(X1,Y)|big_f(X2,Y)))|~big_f(Z1,Z2)))&((big_f(Z1,Y)|big_f(Z2,Y))&(~big_f(Z1,Y)|~big_f(Z2,Y))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f5,plain,(
% 0.12/0.36 ![X1,X2]: (((((~big_f(X1,sk0_2(X2,X1))|big_f(X2,sk0_2(X2,X1)))&(big_f(X1,sk0_2(X2,X1))|~big_f(X2,sk0_2(X2,X1))))|big_f(sk0_0,sk0_1))&(((~big_f(X1,sk0_2(X2,X1))|~big_f(X2,sk0_2(X2,X1)))&(big_f(X1,sk0_2(X2,X1))|big_f(X2,sk0_2(X2,X1))))|~big_f(sk0_0,sk0_1)))&((big_f(sk0_0,sk0_2(X2,X1))|big_f(sk0_1,sk0_2(X2,X1)))&(~big_f(sk0_0,sk0_2(X2,X1))|~big_f(sk0_1,sk0_2(X2,X1)))))),
% 0.12/0.36 inference(skolemization,[status(esa)],[f4])).
% 0.12/0.36 fof(f6,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(X0,sk0_2(X1,X0))|big_f(X1,sk0_2(X1,X0))|big_f(sk0_0,sk0_1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f7,plain,(
% 0.12/0.36 ![X0,X1]: (big_f(X0,sk0_2(X1,X0))|~big_f(X1,sk0_2(X1,X0))|big_f(sk0_0,sk0_1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f8,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(X0,sk0_2(X1,X0))|~big_f(X1,sk0_2(X1,X0))|~big_f(sk0_0,sk0_1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f9,plain,(
% 0.12/0.36 ![X0,X1]: (big_f(X0,sk0_2(X1,X0))|big_f(X1,sk0_2(X1,X0))|~big_f(sk0_0,sk0_1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f10,plain,(
% 0.12/0.36 ![X0,X1]: (big_f(sk0_0,sk0_2(X0,X1))|big_f(sk0_1,sk0_2(X0,X1)))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f11,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(sk0_0,sk0_2(X0,X1))|~big_f(sk0_1,sk0_2(X0,X1)))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f12,plain,(
% 0.12/0.36 spl0_0 <=> ~big_f(X0,sk0_2(X1,X0))|big_f(X1,sk0_2(X1,X0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(X0,sk0_2(X1,X0))|big_f(X1,sk0_2(X1,X0))|~spl0_0)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f12])).
% 0.12/0.36 fof(f15,plain,(
% 0.12/0.36 spl0_1 <=> big_f(sk0_0,sk0_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f18,plain,(
% 0.12/0.36 spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f6,f12,f15])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 spl0_2 <=> big_f(X0,sk0_2(X1,X0))|~big_f(X1,sk0_2(X1,X0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 ![X0,X1]: (big_f(X0,sk0_2(X1,X0))|~big_f(X1,sk0_2(X1,X0))|~spl0_2)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f19])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 spl0_2|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f7,f19,f15])).
% 0.12/0.36 fof(f23,plain,(
% 0.12/0.36 spl0_3 <=> ~big_f(X0,sk0_2(X1,X0))|~big_f(X1,sk0_2(X1,X0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f24,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(X0,sk0_2(X1,X0))|~big_f(X1,sk0_2(X1,X0))|~spl0_3)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f23])).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 spl0_3|~spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f8,f23,f15])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 spl0_4 <=> big_f(X0,sk0_2(X1,X0))|big_f(X1,sk0_2(X1,X0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f28,plain,(
% 0.12/0.36 ![X0,X1]: (big_f(X0,sk0_2(X1,X0))|big_f(X1,sk0_2(X1,X0))|~spl0_4)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f27])).
% 0.12/0.36 fof(f30,plain,(
% 0.12/0.36 spl0_4|~spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f9,f27,f15])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 ![X0]: (~big_f(X0,sk0_2(X0,X0))|~spl0_4|~spl0_3)),
% 0.12/0.36 inference(resolution,[status(thm)],[f28,f24])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 ![X0]: (big_f(X0,sk0_2(X0,X0))|~spl0_4)),
% 0.12/0.36 inference(factoring,[status(esa)],[f28])).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 $false|~spl0_3|~spl0_4),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f41,f39])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 ~spl0_3|~spl0_4),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f42])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 ![X0]: (big_f(X0,sk0_2(sk0_1,X0))|big_f(sk0_0,sk0_2(sk0_1,X0))|~spl0_2)),
% 0.12/0.36 inference(resolution,[status(thm)],[f20,f10])).
% 0.12/0.36 fof(f51,plain,(
% 0.12/0.36 big_f(sk0_1,sk0_2(sk0_1,sk0_0))|~spl0_2|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f44,f13])).
% 0.12/0.36 fof(f66,plain,(
% 0.12/0.36 big_f(sk0_0,sk0_2(sk0_1,sk0_0))|~spl0_2),
% 0.12/0.36 inference(factoring,[status(esa)],[f44])).
% 0.12/0.36 fof(f76,plain,(
% 0.12/0.36 ~big_f(sk0_0,sk0_2(sk0_1,sk0_0))|~spl0_2|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f51,f11])).
% 0.12/0.36 fof(f77,plain,(
% 0.12/0.36 $false|~spl0_2|~spl0_0),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f76,f66])).
% 0.12/0.36 fof(f78,plain,(
% 0.12/0.36 ~spl0_2|~spl0_0),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f77])).
% 0.12/0.36 fof(f79,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f18,f22,f26,f30,f43,f78])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.016851 seconds
% 0.12/0.37 % CPU time: 0.031783 seconds
% 0.12/0.37 % Total memory used: 2.061 MB
% 0.12/0.37 % Net memory used: 2.047 MB
%------------------------------------------------------------------------------