TSTP Solution File: SYN345-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:46:35 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN345-1 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:21:40 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f1,negated_conjecture,(
% 0.14/0.36 (![Y1]: (( f(a,b,Y1)| ~ f(a,a,b)| f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f3,negated_conjecture,(
% 0.14/0.36 (![Y1,Y2]: (( f(b,Y1,Y2)| f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,negated_conjecture,(
% 0.14/0.36 (![Y1,Y2]: (( ~ f(Y1,z(Y1,Y2),z(Y1,Y2))| f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,negated_conjecture,(
% 0.14/0.36 (![Y1,Y2]: (( f(Y1,Y2,z(Y1,Y2))| f(a,a,b)| f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f6,negated_conjecture,(
% 0.14/0.36 (![Y1,Y2]: (( f(Y1,Y2,z(Y1,Y2))| ~ f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,negated_conjecture,(
% 0.14/0.36 (![Y1]: (( ~ f(b,b,Y1)| f(a,a,b)| f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f8,negated_conjecture,(
% 0.14/0.36 (![Y1]: (( ~ f(b,b,Y1)| ~ f(a,a,b)| ~ f(a,b,b) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f9,plain,(
% 0.14/0.36 ((![Y1]: f(a,b,Y1))|~f(a,a,b))|f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f1])).
% 0.14/0.36 fof(f10,plain,(
% 0.14/0.36 ![X0]: (f(a,b,X0)|~f(a,a,b)|f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.36 fof(f13,plain,(
% 0.14/0.36 ((![Y1,Y2]: f(b,Y1,Y2))|f(a,a,b))|~f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f3])).
% 0.14/0.36 fof(f14,plain,(
% 0.14/0.36 ![X0,X1]: (f(b,X0,X1)|f(a,a,b)|~f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f13])).
% 0.14/0.36 fof(f15,plain,(
% 0.14/0.36 ((![Y1,Y2]: ~f(Y1,z(Y1,Y2),z(Y1,Y2)))|f(a,a,b))|~f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.14/0.36 fof(f16,plain,(
% 0.14/0.36 ![X0,X1]: (~f(X0,z(X0,X1),z(X0,X1))|f(a,a,b)|~f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.36 fof(f17,plain,(
% 0.14/0.36 ((![Y1,Y2]: f(Y1,Y2,z(Y1,Y2)))|f(a,a,b))|f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f5])).
% 0.14/0.36 fof(f18,plain,(
% 0.14/0.36 ![X0,X1]: (f(X0,X1,z(X0,X1))|f(a,a,b)|f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f17])).
% 0.14/0.36 fof(f19,plain,(
% 0.14/0.36 ((![Y1,Y2]: f(Y1,Y2,z(Y1,Y2)))|~f(a,a,b))|~f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.14/0.36 fof(f20,plain,(
% 0.14/0.36 ![X0,X1]: (f(X0,X1,z(X0,X1))|~f(a,a,b)|~f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.36 fof(f21,plain,(
% 0.14/0.36 ((![Y1]: ~f(b,b,Y1))|f(a,a,b))|f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.14/0.36 fof(f22,plain,(
% 0.14/0.36 ![X0]: (~f(b,b,X0)|f(a,a,b)|f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.36 fof(f23,plain,(
% 0.14/0.36 ((![Y1]: ~f(b,b,Y1))|~f(a,a,b))|~f(a,b,b)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f8])).
% 0.14/0.36 fof(f24,plain,(
% 0.14/0.36 ![X0]: (~f(b,b,X0)|~f(a,a,b)|~f(a,b,b))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.36 fof(f25,plain,(
% 0.14/0.36 spl0_0 <=> f(a,b,X0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f26,plain,(
% 0.14/0.36 ![X0]: (f(a,b,X0)|~spl0_0)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f25])).
% 0.14/0.36 fof(f28,plain,(
% 0.14/0.36 spl0_1 <=> f(a,a,b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f31,plain,(
% 0.14/0.36 spl0_2 <=> f(a,b,b)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f33,plain,(
% 0.14/0.36 ~f(a,b,b)|spl0_2),
% 0.14/0.36 inference(component_clause,[status(thm)],[f31])).
% 0.14/0.36 fof(f34,plain,(
% 0.14/0.36 spl0_0|~spl0_1|spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f10,f25,f28,f31])).
% 0.14/0.36 fof(f39,plain,(
% 0.14/0.36 spl0_4 <=> f(b,X0,X1)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f40,plain,(
% 0.14/0.36 ![X0,X1]: (f(b,X0,X1)|~spl0_4)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f39])).
% 0.14/0.36 fof(f42,plain,(
% 0.14/0.36 spl0_4|spl0_1|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f14,f39,f28,f31])).
% 0.14/0.36 fof(f43,plain,(
% 0.14/0.36 spl0_5 <=> ~f(X0,z(X0,X1),z(X0,X1))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f44,plain,(
% 0.14/0.36 ![X0,X1]: (~f(X0,z(X0,X1),z(X0,X1))|~spl0_5)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f43])).
% 0.14/0.36 fof(f46,plain,(
% 0.14/0.36 spl0_5|spl0_1|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f16,f43,f28,f31])).
% 0.14/0.36 fof(f47,plain,(
% 0.14/0.36 spl0_6 <=> f(X0,X1,z(X0,X1))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f48,plain,(
% 0.14/0.36 ![X0,X1]: (f(X0,X1,z(X0,X1))|~spl0_6)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f47])).
% 0.14/0.36 fof(f50,plain,(
% 0.14/0.36 spl0_6|spl0_1|spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f18,f47,f28,f31])).
% 0.14/0.36 fof(f51,plain,(
% 0.14/0.36 spl0_6|~spl0_1|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f20,f47,f28,f31])).
% 0.14/0.36 fof(f52,plain,(
% 0.14/0.36 spl0_7 <=> ~f(b,b,X0)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f53,plain,(
% 0.14/0.36 ![X0]: (~f(b,b,X0)|~spl0_7)),
% 0.14/0.36 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.36 fof(f55,plain,(
% 0.14/0.36 spl0_7|spl0_1|spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f22,f52,f28,f31])).
% 0.14/0.36 fof(f56,plain,(
% 0.14/0.36 spl0_7|~spl0_1|~spl0_2),
% 0.14/0.36 inference(split_clause,[status(thm)],[f24,f52,f28,f31])).
% 0.14/0.36 fof(f59,plain,(
% 0.14/0.36 $false|~spl0_0|spl0_2),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f33,f26])).
% 0.14/0.36 fof(f60,plain,(
% 0.14/0.36 ~spl0_0|spl0_2),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f59])).
% 0.14/0.36 fof(f61,plain,(
% 0.14/0.36 $false|~spl0_5|~spl0_4),
% 0.14/0.36 inference(resolution,[status(thm)],[f44,f40])).
% 0.14/0.36 fof(f62,plain,(
% 0.14/0.36 ~spl0_5|~spl0_4),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f61])).
% 0.14/0.36 fof(f63,plain,(
% 0.14/0.36 $false|~spl0_6|~spl0_7),
% 0.14/0.36 inference(resolution,[status(thm)],[f48,f53])).
% 0.14/0.36 fof(f64,plain,(
% 0.14/0.36 ~spl0_6|~spl0_7),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f63])).
% 0.14/0.36 fof(f65,plain,(
% 0.14/0.36 $false),
% 0.14/0.36 inference(sat_refutation,[status(thm)],[f34,f42,f46,f50,f51,f55,f56,f60,f62,f64])).
% 0.14/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.36 % Elapsed time: 0.018332 seconds
% 0.20/0.36 % CPU time: 0.028237 seconds
% 0.20/0.36 % Memory used: 1.871 MB
%------------------------------------------------------------------------------