TSTP Solution File: SYN354+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:46:37 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 10:26:34 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34 fof(f1,conjecture,(
% 0.11/0.34 (! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,X2)=> ( big_g(X1,X2)=> ( ( ( big_g(X2,Z)<=> big_g(Y2,Z) )=> ( big_f(Y1,Y2)=> big_f(X2,Y2) ) )=> ( ( big_g(X2,Z)<=> big_g(Y1,Z) )=> ( big_f(X1,Y1)& big_f(X2,Y1)& big_f(Y1,Y2) ) ) ) ) ) )))),
% 0.11/0.34 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f2,negated_conjecture,(
% 0.11/0.34 ~((! [X1,X2] :(? [Y1,Y2] :(! [Z] :( big_f(X1,X2)=> ( big_g(X1,X2)=> ( ( ( big_g(X2,Z)<=> big_g(Y2,Z) )=> ( big_f(Y1,Y2)=> big_f(X2,Y2) ) )=> ( ( big_g(X2,Z)<=> big_g(Y1,Z) )=> ( big_f(X1,Y1)& big_f(X2,Y1)& big_f(Y1,Y2) ) ) ) ) ) ))))),
% 0.11/0.34 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.34 fof(f3,plain,(
% 0.11/0.34 (?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,X2)&(big_g(X1,X2)&(((big_g(X2,Z)<~>big_g(Y2,Z))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&((big_g(X2,Z)<=>big_g(Y1,Z))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2)))))))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.11/0.34 fof(f4,plain,(
% 0.11/0.34 ?[X1,X2]: ![Y1,Y2]: ?[Z]: (big_f(X1,X2)&(big_g(X1,X2)&((((big_g(X2,Z)|big_g(Y2,Z))&(~big_g(X2,Z)|~big_g(Y2,Z)))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&(((~big_g(X2,Z)|big_g(Y1,Z))&(big_g(X2,Z)|~big_g(Y1,Z)))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2))))))),
% 0.11/0.34 inference(NNF_transformation,[status(esa)],[f3])).
% 0.11/0.34 fof(f5,plain,(
% 0.11/0.34 ?[X1,X2]: (big_f(X1,X2)&(big_g(X1,X2)&(![Y1,Y2]: ?[Z]: ((((big_g(X2,Z)|big_g(Y2,Z))&(~big_g(X2,Z)|~big_g(Y2,Z)))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&(((~big_g(X2,Z)|big_g(Y1,Z))&(big_g(X2,Z)|~big_g(Y1,Z)))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2)))))))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f4])).
% 0.11/0.34 fof(f6,plain,(
% 0.11/0.34 (big_f(sk0_0,sk0_1)&(big_g(sk0_0,sk0_1)&(![Y1,Y2]: ((((big_g(sk0_1,sk0_2(Y2,Y1))|big_g(Y2,sk0_2(Y2,Y1)))&(~big_g(sk0_1,sk0_2(Y2,Y1))|~big_g(Y2,sk0_2(Y2,Y1))))|(~big_f(Y1,Y2)|big_f(sk0_1,Y2)))&(((~big_g(sk0_1,sk0_2(Y2,Y1))|big_g(Y1,sk0_2(Y2,Y1)))&(big_g(sk0_1,sk0_2(Y2,Y1))|~big_g(Y1,sk0_2(Y2,Y1))))&((~big_f(sk0_0,Y1)|~big_f(sk0_1,Y1))|~big_f(Y1,Y2)))))))),
% 0.11/0.34 inference(skolemization,[status(esa)],[f5])).
% 0.11/0.34 fof(f7,plain,(
% 0.11/0.34 big_f(sk0_0,sk0_1)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.34 fof(f9,plain,(
% 0.11/0.34 ![X0,X1]: (big_g(sk0_1,sk0_2(X0,X1))|big_g(X0,sk0_2(X0,X1))|~big_f(X1,X0)|big_f(sk0_1,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.34 fof(f10,plain,(
% 0.11/0.34 ![X0,X1]: (~big_g(sk0_1,sk0_2(X0,X1))|~big_g(X0,sk0_2(X0,X1))|~big_f(X1,X0)|big_f(sk0_1,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.34 fof(f13,plain,(
% 0.11/0.34 ![X0,X1]: (~big_f(sk0_0,X0)|~big_f(sk0_1,X0)|~big_f(X0,X1))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f6])).
% 0.11/0.34 fof(f14,plain,(
% 0.11/0.34 ![X0,X1,X2]: (big_g(sk0_1,sk0_2(X0,X1))|big_g(X0,sk0_2(X0,X1))|~big_f(X1,X0)|~big_f(sk0_0,X0)|~big_f(X0,X2))),
% 0.11/0.34 inference(resolution,[status(thm)],[f9,f13])).
% 0.11/0.34 fof(f15,plain,(
% 0.11/0.34 spl0_0 <=> big_g(sk0_1,sk0_2(sk0_1,X0))|big_g(sk0_1,sk0_2(sk0_1,X0))|~big_f(X0,sk0_1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f16,plain,(
% 0.11/0.34 ![X0]: (big_g(sk0_1,sk0_2(sk0_1,X0))|big_g(sk0_1,sk0_2(sk0_1,X0))|~big_f(X0,sk0_1)|~spl0_0)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f15])).
% 0.11/0.34 fof(f18,plain,(
% 0.11/0.34 spl0_1 <=> ~big_f(sk0_1,X1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f19,plain,(
% 0.11/0.34 ![X0]: (~big_f(sk0_1,X0)|~spl0_1)),
% 0.11/0.34 inference(component_clause,[status(thm)],[f18])).
% 0.11/0.34 fof(f21,plain,(
% 0.11/0.34 ![X0,X1]: (big_g(sk0_1,sk0_2(sk0_1,X0))|big_g(sk0_1,sk0_2(sk0_1,X0))|~big_f(X0,sk0_1)|~big_f(sk0_1,X1))),
% 0.11/0.34 inference(resolution,[status(thm)],[f14,f7])).
% 0.11/0.34 fof(f22,plain,(
% 0.11/0.34 spl0_0|spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f21,f15,f18])).
% 0.11/0.34 fof(f23,plain,(
% 0.11/0.34 ![X0]: (big_g(sk0_1,sk0_2(sk0_1,X0))|~big_f(X0,sk0_1)|~spl0_0)),
% 0.11/0.34 inference(duplicate_literals_removal,[status(esa)],[f16])).
% 0.11/0.34 fof(f29,plain,(
% 0.11/0.34 big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~spl0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f23,f7])).
% 0.11/0.34 fof(f29,plain,(
% 0.11/0.34 big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~spl0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f23,f7])).
% 0.11/0.34 fof(f30,plain,(
% 0.11/0.34 spl0_3 <=> big_g(sk0_1,sk0_2(sk0_1,sk0_0))),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f31,plain,(
% 0.11/0.34 big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~spl0_3),
% 0.11/0.34 inference(component_clause,[status(thm)],[f30])).
% 0.11/0.34 fof(f33,plain,(
% 0.11/0.34 spl0_4 <=> big_f(sk0_0,sk0_1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f35,plain,(
% 0.11/0.34 ~big_f(sk0_0,sk0_1)|spl0_4),
% 0.11/0.34 inference(component_clause,[status(thm)],[f33])).
% 0.11/0.34 fof(f36,plain,(
% 0.11/0.34 spl0_5 <=> big_f(sk0_1,sk0_1)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f37,plain,(
% 0.11/0.34 big_f(sk0_1,sk0_1)|~spl0_5),
% 0.11/0.34 inference(component_clause,[status(thm)],[f36])).
% 0.11/0.34 fof(f39,plain,(
% 0.11/0.34 ~big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~big_f(sk0_0,sk0_1)|big_f(sk0_1,sk0_1)|~spl0_0),
% 0.11/0.34 inference(resolution,[status(thm)],[f29,f10])).
% 0.11/0.34 fof(f40,plain,(
% 0.11/0.34 ~spl0_3|~spl0_4|spl0_5|~spl0_0),
% 0.11/0.34 inference(split_clause,[status(thm)],[f39,f30,f33,f36,f15])).
% 0.11/0.34 fof(f42,plain,(
% 0.11/0.34 $false|spl0_4),
% 0.11/0.34 inference(forward_subsumption_resolution,[status(thm)],[f35,f7])).
% 0.11/0.34 fof(f43,plain,(
% 0.11/0.34 spl0_4),
% 0.11/0.34 inference(contradiction_clause,[status(thm)],[f42])).
% 0.11/0.34 fof(f44,plain,(
% 0.11/0.34 ![X0,X1]: (~big_g(sk0_1,sk0_2(X0,X1))|~big_g(X0,sk0_2(X0,X1))|~big_f(X1,X0)|~spl0_1)),
% 0.11/0.34 inference(backward_subsumption_resolution,[status(thm)],[f10,f19])).
% 0.11/0.34 fof(f45,plain,(
% 0.11/0.34 ![X0,X1]: (big_g(sk0_1,sk0_2(X0,X1))|big_g(X0,sk0_2(X0,X1))|~big_f(X1,X0)|~spl0_1)),
% 0.11/0.34 inference(backward_subsumption_resolution,[status(thm)],[f9,f19])).
% 0.11/0.34 fof(f46,plain,(
% 0.11/0.34 big_g(sk0_1,sk0_2(sk0_1,sk0_0))|big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~spl0_1),
% 0.11/0.34 inference(resolution,[status(thm)],[f45,f7])).
% 0.11/0.34 fof(f47,plain,(
% 0.11/0.34 spl0_3|~spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f46,f30,f18])).
% 0.11/0.34 fof(f51,plain,(
% 0.11/0.34 ![X0]: (~big_f(sk0_0,sk0_1)|~big_f(sk0_1,X0)|~spl0_5)),
% 0.11/0.34 inference(resolution,[status(thm)],[f37,f13])).
% 0.11/0.34 fof(f52,plain,(
% 0.11/0.34 ~spl0_4|spl0_1|~spl0_5),
% 0.11/0.34 inference(split_clause,[status(thm)],[f51,f33,f18,f36])).
% 0.11/0.34 fof(f56,plain,(
% 0.11/0.34 spl0_3|~spl0_0),
% 0.11/0.34 inference(split_clause,[status(thm)],[f29,f30,f15])).
% 0.11/0.34 fof(f63,plain,(
% 0.11/0.34 ~big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~big_f(sk0_0,sk0_1)|~spl0_1|~spl0_3),
% 0.11/0.34 inference(resolution,[status(thm)],[f44,f31])).
% 0.11/0.34 fof(f64,plain,(
% 0.11/0.34 ~spl0_3|~spl0_4|~spl0_1),
% 0.11/0.34 inference(split_clause,[status(thm)],[f63,f30,f33,f18])).
% 0.11/0.34 fof(f65,plain,(
% 0.11/0.34 $false),
% 0.11/0.34 inference(sat_refutation,[status(thm)],[f22,f40,f43,f47,f52,f56,f64])).
% 0.11/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.56 % Elapsed time: 0.010075 seconds
% 0.18/0.56 % CPU time: 0.011634 seconds
% 0.18/0.56 % Memory used: 495.462 KB
%------------------------------------------------------------------------------