TSTP Solution File: SYN354+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n017.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 20:52:00 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
% 0.02/0.13 % Problem : SYN354+1 : TPTP v8.1.2. Released v2.0.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.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 21:37:33 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % 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 (! [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) ) ) ) ) ) )))),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,negated_conjecture,(
% 0.12/0.36 ~((! [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) ) ) ) ) ) ))))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.36 fof(f3,plain,(
% 0.12/0.36 (?[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)))))))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.36 fof(f4,plain,(
% 0.12/0.36 ?[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))))))),
% 0.12/0.36 inference(NNF_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f5,plain,(
% 0.12/0.36 ?[X1,X2]: (big_f(X1,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)))))))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.12/0.36 fof(f6,plain,(
% 0.12/0.36 (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)))))))),
% 0.12/0.36 inference(skolemization,[status(esa)],[f5])).
% 0.12/0.36 fof(f7,plain,(
% 0.12/0.36 big_f(sk0_0,sk0_1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.36 fof(f9,plain,(
% 0.12/0.36 ![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))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.36 fof(f10,plain,(
% 0.12/0.36 ![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))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ![X0,X1]: (~big_f(sk0_0,X0)|~big_f(sk0_1,X0)|~big_f(X0,X1))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.36 fof(f14,plain,(
% 0.12/0.36 spl0_0 <=> big_g(sk0_1,sk0_2(sk0_1,sk0_0))),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f15,plain,(
% 0.12/0.36 big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f14])).
% 0.12/0.36 fof(f17,plain,(
% 0.12/0.36 spl0_1 <=> big_f(sk0_1,sk0_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f18,plain,(
% 0.12/0.36 big_f(sk0_1,sk0_1)|~spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f17])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 big_g(sk0_1,sk0_2(sk0_1,sk0_0))|big_g(sk0_1,sk0_2(sk0_1,sk0_0))|big_f(sk0_1,sk0_1)),
% 0.12/0.36 inference(resolution,[status(thm)],[f9,f7])).
% 0.12/0.36 fof(f21,plain,(
% 0.12/0.36 spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f20,f14,f17])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 spl0_2 <=> big_f(sk0_0,sk0_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f24,plain,(
% 0.12/0.36 ~big_f(sk0_0,sk0_1)|spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f22])).
% 0.12/0.36 fof(f25,plain,(
% 0.12/0.36 ~big_g(sk0_1,sk0_2(sk0_1,sk0_0))|~big_f(sk0_0,sk0_1)|big_f(sk0_1,sk0_1)|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f15,f10])).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 ~spl0_0|~spl0_2|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f25,f14,f22,f17])).
% 0.12/0.36 fof(f28,plain,(
% 0.12/0.36 spl0_3 <=> ~big_f(sk0_1,X0)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f29,plain,(
% 0.12/0.36 ![X0]: (~big_f(sk0_1,X0)|~spl0_3)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f28])).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 ![X0]: (~big_f(sk0_0,sk0_1)|~big_f(sk0_1,X0)|~spl0_1)),
% 0.12/0.36 inference(resolution,[status(thm)],[f18,f13])).
% 0.12/0.36 fof(f32,plain,(
% 0.12/0.36 ~spl0_2|spl0_3|~spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f31,f22,f28,f17])).
% 0.12/0.36 fof(f38,plain,(
% 0.12/0.36 $false|spl0_2),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f24,f7])).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 spl0_2),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f38])).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 $false|~spl0_3|~spl0_1),
% 0.12/0.36 inference(backward_subsumption_resolution,[status(thm)],[f18,f29])).
% 0.12/0.36 fof(f43,plain,(
% 0.12/0.36 ~spl0_3|~spl0_1),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f42])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f21,f26,f32,f39,f43])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.37 % Elapsed time: 0.014507 seconds
% 0.12/0.37 % CPU time: 0.024284 seconds
% 0.12/0.37 % Total memory used: 1.940 MB
% 0.12/0.37 % Net memory used: 1.904 MB
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