TSTP Solution File: SYN347-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:46:36 EDT 2023
% Result : Unsatisfiable 0.10s 0.31s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SYN347-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.30 % Computer : n031.cluster.edu
% 0.06/0.30 % Model : x86_64 x86_64
% 0.06/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.30 % Memory : 8042.1875MB
% 0.06/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.30 % CPULimit : 300
% 0.06/0.30 % WCLimit : 300
% 0.06/0.30 % DateTime : Tue May 30 10:49:52 EDT 2023
% 0.06/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.10/0.31 % Refutation found
% 0.10/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.31 fof(f1,negated_conjecture,(
% 0.10/0.31 (![X1,X2]: (( f(X1,y(X1,X2))| ~ f(X2,y(X1,X2))| f(a,b) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f2,negated_conjecture,(
% 0.10/0.31 (![X1,X2]: (( ~ f(X1,y(X1,X2))| f(X2,y(X1,X2))| f(a,b) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f3,negated_conjecture,(
% 0.10/0.31 (![X1,X2]: (( ~ f(X1,y(X1,X2))| ~ f(X2,y(X1,X2))| ~ f(a,b) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f4,negated_conjecture,(
% 0.10/0.31 (![X1,X2]: (( f(X1,y(X1,X2))| f(X2,y(X1,X2))| ~ f(a,b) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f5,negated_conjecture,(
% 0.10/0.31 (![X1,X2]: (( f(a,y(X1,X2))| f(b,y(X1,X2)) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f6,negated_conjecture,(
% 0.10/0.31 (![X1,X2]: (( ~ f(a,y(X1,X2))| ~ f(b,y(X1,X2)) ) ))),
% 0.10/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.31 fof(f7,plain,(
% 0.10/0.31 (![X1,X2]: (f(X1,y(X1,X2))|~f(X2,y(X1,X2))))|f(a,b)),
% 0.10/0.31 inference(miniscoping,[status(esa)],[f1])).
% 0.10/0.31 fof(f8,plain,(
% 0.10/0.31 ![X0,X1]: (f(X0,y(X0,X1))|~f(X1,y(X0,X1))|f(a,b))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f7])).
% 0.10/0.31 fof(f9,plain,(
% 0.10/0.31 (![X1,X2]: (~f(X1,y(X1,X2))|f(X2,y(X1,X2))))|f(a,b)),
% 0.10/0.31 inference(miniscoping,[status(esa)],[f2])).
% 0.10/0.31 fof(f10,plain,(
% 0.10/0.31 ![X0,X1]: (~f(X0,y(X0,X1))|f(X1,y(X0,X1))|f(a,b))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f9])).
% 0.10/0.31 fof(f11,plain,(
% 0.10/0.31 (![X1,X2]: (~f(X1,y(X1,X2))|~f(X2,y(X1,X2))))|~f(a,b)),
% 0.10/0.31 inference(miniscoping,[status(esa)],[f3])).
% 0.10/0.31 fof(f12,plain,(
% 0.10/0.31 ![X0,X1]: (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~f(a,b))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f11])).
% 0.10/0.31 fof(f13,plain,(
% 0.10/0.31 (![X1,X2]: (f(X1,y(X1,X2))|f(X2,y(X1,X2))))|~f(a,b)),
% 0.10/0.31 inference(miniscoping,[status(esa)],[f4])).
% 0.10/0.31 fof(f14,plain,(
% 0.10/0.31 ![X0,X1]: (f(X0,y(X0,X1))|f(X1,y(X0,X1))|~f(a,b))),
% 0.10/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.10/0.31 fof(f15,plain,(
% 0.10/0.31 ![X0,X1]: (f(a,y(X0,X1))|f(b,y(X0,X1)))),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.10/0.32 fof(f16,plain,(
% 0.10/0.32 ![X0,X1]: (~f(a,y(X0,X1))|~f(b,y(X0,X1)))),
% 0.10/0.32 inference(cnf_transformation,[status(esa)],[f6])).
% 0.10/0.32 fof(f17,plain,(
% 0.10/0.32 spl0_0 <=> f(X0,y(X0,X1))|~f(X1,y(X0,X1))),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f18,plain,(
% 0.10/0.32 ![X0,X1]: (f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~spl0_0)),
% 0.10/0.32 inference(component_clause,[status(thm)],[f17])).
% 0.10/0.32 fof(f20,plain,(
% 0.10/0.32 spl0_1 <=> f(a,b)),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f23,plain,(
% 0.10/0.32 spl0_0|spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f8,f17,f20])).
% 0.10/0.32 fof(f24,plain,(
% 0.10/0.32 spl0_2 <=> ~f(X0,y(X0,X1))|f(X1,y(X0,X1))),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f25,plain,(
% 0.10/0.32 ![X0,X1]: (~f(X0,y(X0,X1))|f(X1,y(X0,X1))|~spl0_2)),
% 0.10/0.32 inference(component_clause,[status(thm)],[f24])).
% 0.10/0.32 fof(f27,plain,(
% 0.10/0.32 spl0_2|spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f10,f24,f20])).
% 0.10/0.32 fof(f28,plain,(
% 0.10/0.32 spl0_3 <=> ~f(X0,y(X0,X1))|~f(X1,y(X0,X1))),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f29,plain,(
% 0.10/0.32 ![X0,X1]: (~f(X0,y(X0,X1))|~f(X1,y(X0,X1))|~spl0_3)),
% 0.10/0.32 inference(component_clause,[status(thm)],[f28])).
% 0.10/0.32 fof(f31,plain,(
% 0.10/0.32 spl0_3|~spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f12,f28,f20])).
% 0.10/0.32 fof(f32,plain,(
% 0.10/0.32 spl0_4 <=> f(X0,y(X0,X1))|f(X1,y(X0,X1))),
% 0.10/0.32 introduced(split_symbol_definition)).
% 0.10/0.32 fof(f33,plain,(
% 0.10/0.32 ![X0,X1]: (f(X0,y(X0,X1))|f(X1,y(X0,X1))|~spl0_4)),
% 0.10/0.32 inference(component_clause,[status(thm)],[f32])).
% 0.10/0.32 fof(f35,plain,(
% 0.10/0.32 spl0_4|~spl0_1),
% 0.10/0.32 inference(split_clause,[status(thm)],[f14,f32,f20])).
% 0.10/0.32 fof(f41,plain,(
% 0.10/0.32 ![X0]: (f(X0,y(X0,X0))|~spl0_4)),
% 0.10/0.32 inference(factoring,[status(esa)],[f33])).
% 0.10/0.32 fof(f43,plain,(
% 0.10/0.32 ![X0]: (~f(X0,y(X0,X0))|~spl0_3|~spl0_4)),
% 0.10/0.32 inference(resolution,[status(thm)],[f29,f41])).
% 0.10/0.32 fof(f44,plain,(
% 0.10/0.32 $false|~spl0_3|~spl0_4),
% 0.10/0.32 inference(forward_subsumption_resolution,[status(thm)],[f43,f41])).
% 0.10/0.32 fof(f45,plain,(
% 0.10/0.32 ~spl0_3|~spl0_4),
% 0.10/0.32 inference(contradiction_clause,[status(thm)],[f44])).
% 0.10/0.32 fof(f46,plain,(
% 0.10/0.32 ![X0]: (f(X0,y(X0,b))|f(a,y(X0,b))|~spl0_0)),
% 0.10/0.32 inference(resolution,[status(thm)],[f18,f15])).
% 0.10/0.32 fof(f48,plain,(
% 0.10/0.32 ~f(b,y(a,b))|~spl0_0),
% 0.10/0.32 inference(resolution,[status(thm)],[f46,f16])).
% 0.10/0.32 fof(f57,plain,(
% 0.10/0.32 f(b,y(a,b))|~spl0_0|~spl0_2),
% 0.10/0.32 inference(resolution,[status(thm)],[f46,f25])).
% 0.10/0.32 fof(f58,plain,(
% 0.10/0.32 $false|~spl0_0|~spl0_2),
% 0.10/0.32 inference(forward_subsumption_resolution,[status(thm)],[f57,f48])).
% 0.10/0.32 fof(f59,plain,(
% 0.10/0.32 ~spl0_0|~spl0_2),
% 0.10/0.32 inference(contradiction_clause,[status(thm)],[f58])).
% 0.10/0.32 fof(f60,plain,(
% 0.10/0.32 $false),
% 0.10/0.32 inference(sat_refutation,[status(thm)],[f23,f27,f31,f35,f45,f59])).
% 0.10/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.32 % Elapsed time: 0.012284 seconds
% 0.10/0.32 % CPU time: 0.026195 seconds
% 0.10/0.32 % Memory used: 1.938 MB
%------------------------------------------------------------------------------