TSTP Solution File: ALG011-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG011-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:08:55 EDT 2024
% Result : Unsatisfiable 0.08s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : ALG011-1 : TPTP v8.1.2. Released v2.7.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n027.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon Apr 29 23:56:47 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.08/0.30 % Drodi V3.6.0
% 0.08/0.31 % Refutation found
% 0.08/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.31 fof(f1,axiom,(
% 0.08/0.31 (![X,Y,Z]: (f(X,f(Y,Z)) = f(f(X,Y),Z) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f2,axiom,(
% 0.08/0.31 (![X]: (( c(X)| d(X) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f3,hypothesis,(
% 0.08/0.31 (![X]: (( ~ c(X)| ~ d(X) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f4,hypothesis,(
% 0.08/0.31 c(a1) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f5,hypothesis,(
% 0.08/0.31 d(a2) ),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f6,negated_conjecture,(
% 0.08/0.31 (![X,Y]: (( d(f(X,Y))| ~ c(X)| ~ c(Y) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f7,negated_conjecture,(
% 0.08/0.31 (![X,Y]: (( c(f(X,Y))| ~ d(X)| ~ d(Y) ) ))),
% 0.08/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.31 fof(f8,plain,(
% 0.08/0.31 ![X0,X1,X2]: (f(X0,f(X1,X2))=f(f(X0,X1),X2))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f1])).
% 0.08/0.31 fof(f9,plain,(
% 0.08/0.31 ![X0]: (c(X0)|d(X0))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f2])).
% 0.08/0.31 fof(f10,plain,(
% 0.08/0.31 ![X0]: (~c(X0)|~d(X0))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f3])).
% 0.08/0.31 fof(f11,plain,(
% 0.08/0.31 c(a1)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f4])).
% 0.08/0.31 fof(f12,plain,(
% 0.08/0.31 d(a2)),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f5])).
% 0.08/0.31 fof(f13,plain,(
% 0.08/0.31 ![Y]: ((![X]: (d(f(X,Y))|~c(X)))|~c(Y))),
% 0.08/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.08/0.31 fof(f14,plain,(
% 0.08/0.31 ![X0,X1]: (d(f(X0,X1))|~c(X0)|~c(X1))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f13])).
% 0.08/0.31 fof(f15,plain,(
% 0.08/0.31 ![Y]: ((![X]: (c(f(X,Y))|~d(X)))|~d(Y))),
% 0.08/0.31 inference(miniscoping,[status(esa)],[f7])).
% 0.08/0.31 fof(f16,plain,(
% 0.08/0.31 ![X0,X1]: (c(f(X0,X1))|~d(X0)|~d(X1))),
% 0.08/0.31 inference(cnf_transformation,[status(esa)],[f15])).
% 0.08/0.31 fof(f17,plain,(
% 0.08/0.31 ![X0,X1]: (~d(f(X0,X1))|~d(X0)|~d(X1))),
% 0.08/0.31 inference(resolution,[status(thm)],[f10,f16])).
% 0.08/0.31 fof(f28,plain,(
% 0.08/0.31 ![X0,X1,X2]: (c(f(X0,f(X1,X2)))|~d(f(X0,X1))|~d(X2))),
% 0.08/0.31 inference(paramodulation,[status(thm)],[f8,f16])).
% 0.08/0.31 fof(f29,plain,(
% 0.08/0.31 ![X0,X1,X2]: (d(f(X0,f(X1,X2)))|~c(f(X0,X1))|~c(X2))),
% 0.08/0.31 inference(paramodulation,[status(thm)],[f8,f14])).
% 0.08/0.31 fof(f33,plain,(
% 0.08/0.31 ![X0,X1,X2]: (c(f(X0,f(X1,X2)))|~d(f(X0,X1))|c(X2))),
% 0.08/0.31 inference(resolution,[status(thm)],[f28,f9])).
% 0.08/0.31 fof(f39,plain,(
% 0.08/0.31 ![X0,X1,X2]: (c(f(X0,f(X1,X2)))|c(X2)|~c(X0)|~c(X1))),
% 0.08/0.31 inference(resolution,[status(thm)],[f33,f14])).
% 0.08/0.31 fof(f74,plain,(
% 0.08/0.31 ![X0,X1]: (c(f(X0,f(a1,X1)))|c(X1)|~c(X0))),
% 0.08/0.31 inference(resolution,[status(thm)],[f11,f39])).
% 0.08/0.31 fof(f76,plain,(
% 0.08/0.31 ![X0,X1]: (d(f(X0,f(X1,a1)))|~c(f(X0,X1)))),
% 0.08/0.31 inference(resolution,[status(thm)],[f11,f29])).
% 0.08/0.31 fof(f83,plain,(
% 0.08/0.31 spl0_1 <=> c(X0)|~d(X0)),
% 0.08/0.31 introduced(split_symbol_definition)).
% 0.08/0.31 fof(f84,plain,(
% 0.08/0.31 ![X0]: (c(X0)|~d(X0)|~spl0_1)),
% 0.08/0.31 inference(component_clause,[status(thm)],[f83])).
% 0.08/0.31 fof(f92,plain,(
% 0.08/0.31 ![X0]: (~d(X0)|~spl0_1)),
% 0.08/0.31 inference(forward_subsumption_resolution,[status(thm)],[f84,f10])).
% 0.08/0.31 fof(f93,plain,(
% 0.08/0.31 ![X0]: (c(f(a1,f(a1,X0)))|c(X0))),
% 0.08/0.31 inference(resolution,[status(thm)],[f74,f11])).
% 0.08/0.31 fof(f121,plain,(
% 0.08/0.31 ![X0]: (c(X0)|~d(f(a1,f(a1,X0))))),
% 0.08/0.31 inference(resolution,[status(thm)],[f93,f10])).
% 0.08/0.31 fof(f122,plain,(
% 0.08/0.31 spl0_5 <=> c(X0)|~c(f(a1,X0))),
% 0.08/0.31 introduced(split_symbol_definition)).
% 0.08/0.31 fof(f123,plain,(
% 0.08/0.31 ![X0]: (c(X0)|~c(f(a1,X0))|~spl0_5)),
% 0.08/0.31 inference(component_clause,[status(thm)],[f122])).
% 0.08/0.31 fof(f125,plain,(
% 0.08/0.31 spl0_6 <=> c(a1)),
% 0.08/0.31 introduced(split_symbol_definition)).
% 0.08/0.31 fof(f127,plain,(
% 0.08/0.31 ~c(a1)|spl0_6),
% 0.08/0.31 inference(component_clause,[status(thm)],[f125])).
% 0.08/0.31 fof(f128,plain,(
% 0.08/0.31 ![X0]: (c(X0)|~c(a1)|~c(f(a1,X0)))),
% 0.08/0.31 inference(resolution,[status(thm)],[f121,f14])).
% 0.08/0.31 fof(f129,plain,(
% 0.08/0.31 spl0_5|~spl0_6),
% 0.08/0.31 inference(split_clause,[status(thm)],[f128,f122,f125])).
% 0.08/0.31 fof(f131,plain,(
% 0.08/0.31 $false|spl0_6),
% 0.08/0.31 inference(forward_subsumption_resolution,[status(thm)],[f127,f11])).
% 0.08/0.31 fof(f132,plain,(
% 0.08/0.31 spl0_6),
% 0.08/0.31 inference(contradiction_clause,[status(thm)],[f131])).
% 0.08/0.31 fof(f144,plain,(
% 0.08/0.31 ![X0,X1]: (d(f(X0,f(X1,a1)))|~d(X0)|~d(X1))),
% 0.08/0.31 inference(resolution,[status(thm)],[f76,f16])).
% 0.08/0.31 fof(f155,plain,(
% 0.08/0.31 ![X0]: (d(f(X0,f(a2,a1)))|~d(X0))),
% 0.14/0.31 inference(resolution,[status(thm)],[f144,f12])).
% 0.14/0.31 fof(f162,plain,(
% 0.14/0.31 ![X0]: (d(f(X0,f(a2,a1)))|c(X0))),
% 0.14/0.31 inference(resolution,[status(thm)],[f155,f9])).
% 0.14/0.31 fof(f179,plain,(
% 0.14/0.31 spl0_10 <=> d(f(a2,a1))),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f181,plain,(
% 0.14/0.31 ~d(f(a2,a1))|spl0_10),
% 0.14/0.31 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.31 fof(f208,plain,(
% 0.14/0.31 ![X0]: (c(X0)|~d(X0)|~d(f(a2,a1)))),
% 0.14/0.31 inference(resolution,[status(thm)],[f162,f17])).
% 0.14/0.31 fof(f209,plain,(
% 0.14/0.31 spl0_1|~spl0_10),
% 0.14/0.31 inference(split_clause,[status(thm)],[f208,f83,f179])).
% 0.14/0.31 fof(f250,plain,(
% 0.14/0.31 $false|~spl0_1),
% 0.14/0.31 inference(backward_subsumption_resolution,[status(thm)],[f12,f92])).
% 0.14/0.31 fof(f251,plain,(
% 0.14/0.31 ~spl0_1),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f250])).
% 0.14/0.31 fof(f272,plain,(
% 0.14/0.31 ![X0]: (c(f(a1,X0))|c(X0)|~spl0_5)),
% 0.14/0.31 inference(resolution,[status(thm)],[f123,f93])).
% 0.14/0.31 fof(f273,plain,(
% 0.14/0.31 ![X0]: (c(X0)|~spl0_5)),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f272,f123])).
% 0.14/0.31 fof(f277,plain,(
% 0.14/0.31 ![X0,X1]: (d(f(X0,X1))|~c(X1)|~spl0_5)),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f14,f273])).
% 0.14/0.31 fof(f278,plain,(
% 0.14/0.31 ![X0,X1]: (d(f(X0,X1))|~spl0_5)),
% 0.14/0.31 inference(resolution,[status(thm)],[f277,f273])).
% 0.14/0.31 fof(f284,plain,(
% 0.14/0.31 $false|~spl0_5|spl0_10),
% 0.14/0.31 inference(backward_subsumption_resolution,[status(thm)],[f181,f278])).
% 0.14/0.31 fof(f285,plain,(
% 0.14/0.31 ~spl0_5|spl0_10),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f284])).
% 0.14/0.31 fof(f286,plain,(
% 0.14/0.31 $false),
% 0.14/0.31 inference(sat_refutation,[status(thm)],[f129,f132,f209,f251,f285])).
% 0.14/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.32 % Elapsed time: 0.018807 seconds
% 0.14/0.32 % CPU time: 0.056287 seconds
% 0.14/0.32 % Total memory used: 15.010 MB
% 0.14/0.32 % Net memory used: 14.956 MB
%------------------------------------------------------------------------------