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 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 : Tue Apr 30 20:51:59 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN354-1 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:45:27 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,negated_conjecture,(
% 0.13/0.36 f(a,b) ),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,negated_conjecture,(
% 0.13/0.36 (![Y1,Y2]: (( g(b,z(Y1,Y2))| g(Y2,z(Y1,Y2))| ~ f(Y1,Y2)| f(b,Y2) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,negated_conjecture,(
% 0.13/0.36 (![Y1,Y2]: (( ~ g(b,z(Y1,Y2))| ~ g(Y2,z(Y1,Y2))| ~ f(Y1,Y2)| f(b,Y2) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f7,negated_conjecture,(
% 0.13/0.36 (![Y1,Y2]: (( ~ f(a,Y1)| ~ f(b,Y1)| ~ f(Y1,Y2) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,plain,(
% 0.13/0.36 f(a,b)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f10,plain,(
% 0.13/0.36 ![Y2]: ((![Y1]: ((g(b,z(Y1,Y2))|g(Y2,z(Y1,Y2)))|~f(Y1,Y2)))|f(b,Y2))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X0,X1]: (g(b,z(X0,X1))|g(X1,z(X0,X1))|~f(X0,X1)|f(b,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 ![Y2]: ((![Y1]: ((~g(b,z(Y1,Y2))|~g(Y2,z(Y1,Y2)))|~f(Y1,Y2)))|f(b,Y2))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![X0,X1]: (~g(b,z(X0,X1))|~g(X1,z(X0,X1))|~f(X0,X1)|f(b,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![Y1]: ((~f(a,Y1)|~f(b,Y1))|(![Y2]: ~f(Y1,Y2)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![X0,X1]: (~f(a,X0)|~f(b,X0)|~f(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 spl0_0 <=> g(b,z(a,b))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 g(b,z(a,b))|~spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f18])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 spl0_1 <=> f(b,b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 f(b,b)|~spl0_1),
% 0.13/0.36 inference(component_clause,[status(thm)],[f21])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 g(b,z(a,b))|g(b,z(a,b))|f(b,b)),
% 0.13/0.36 inference(resolution,[status(thm)],[f11,f8])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f24,f18,f21])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 spl0_2 <=> f(a,b)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ~f(a,b)|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f26])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ~g(b,z(a,b))|~f(a,b)|f(b,b)|~spl0_0),
% 0.13/0.36 inference(resolution,[status(thm)],[f19,f13])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ~spl0_0|~spl0_2|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f29,f18,f26,f21])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 spl0_3 <=> ~f(b,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 ![X0]: (~f(b,X0)|~spl0_3)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f32])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 ![X0]: (~f(a,b)|~f(b,X0)|~spl0_1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f22,f17])).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ~spl0_2|spl0_3|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f35,f26,f32,f21])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 $false|spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f28,f8])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f42])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 $false|~spl0_3|~spl0_1),
% 0.13/0.36 inference(backward_subsumption_resolution,[status(thm)],[f22,f33])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ~spl0_3|~spl0_1),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f46])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f25,f30,f36,f43,f47])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.015771 seconds
% 0.13/0.37 % CPU time: 0.031945 seconds
% 0.13/0.37 % Total memory used: 1.912 MB
% 0.13/0.37 % Net memory used: 1.889 MB
%------------------------------------------------------------------------------