TSTP Solution File: LCL109-5 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:18:17 EDT 2023
% Result : Unsatisfiable 0.15s 0.35s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : LCL109-5 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33 % Computer : n013.cluster.edu
% 0.09/0.33 % Model : x86_64 x86_64
% 0.09/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33 % Memory : 8042.1875MB
% 0.09/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33 % CPULimit : 300
% 0.09/0.33 % WCLimit : 300
% 0.09/0.33 % DateTime : Tue May 30 09:33:50 EDT 2023
% 0.09/0.34 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.35 fof(f1,axiom,(
% 0.15/0.35 (![X]: (implies(truth,X) = X ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f2,axiom,(
% 0.15/0.35 (![X,Y,Z]: (implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f3,axiom,(
% 0.15/0.35 (![X,Y]: (implies(implies(X,Y),Y) = implies(implies(Y,X),X) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f5,axiom,(
% 0.15/0.35 (![X,Y]: (big_V(X,Y) = implies(implies(X,Y),Y) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f7,axiom,(
% 0.15/0.35 (![X,Y]: (( ~ ordered(X,Y)| implies(X,Y) = truth ) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f8,axiom,(
% 0.15/0.35 (![X,Y]: (( implies(X,Y) != truth| ordered(X,Y) ) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f9,axiom,(
% 0.15/0.35 (![X,Y,Z]: (( ~ ordered(X,Y)| ordered(implies(X,Z),implies(Y,Z)) ) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f11,axiom,(
% 0.15/0.35 (![X,Y,Z]: (( ~ ordered(X,implies(Y,Z))| ordered(Y,implies(X,Z)) ) ))),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f17,negated_conjecture,(
% 0.15/0.35 big_V(implies(x,y),implies(y,x)) != truth ),
% 0.15/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.35 fof(f18,plain,(
% 0.15/0.35 ![X0]: (implies(truth,X0)=X0)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f1])).
% 0.15/0.35 fof(f19,plain,(
% 0.15/0.35 ![X0,X1,X2]: (implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))=truth)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.35 fof(f20,plain,(
% 0.15/0.35 ![X0,X1]: (implies(implies(X0,X1),X1)=implies(implies(X1,X0),X0))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.15/0.35 fof(f22,plain,(
% 0.15/0.35 ![X0,X1]: (big_V(X0,X1)=implies(implies(X0,X1),X1))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.15/0.35 fof(f24,plain,(
% 0.15/0.35 ![X0,X1]: (~ordered(X0,X1)|implies(X0,X1)=truth)),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.35 fof(f25,plain,(
% 0.15/0.35 ![X0,X1]: (~implies(X0,X1)=truth|ordered(X0,X1))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.15/0.35 fof(f26,plain,(
% 0.15/0.35 ![X,Y]: (~ordered(X,Y)|(![Z]: ordered(implies(X,Z),implies(Y,Z))))),
% 0.15/0.35 inference(miniscoping,[status(esa)],[f9])).
% 0.15/0.35 fof(f27,plain,(
% 0.15/0.35 ![X0,X1,X2]: (~ordered(X0,X1)|ordered(implies(X0,X2),implies(X1,X2)))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f26])).
% 0.15/0.35 fof(f30,plain,(
% 0.15/0.35 ![X0,X1,X2]: (~ordered(X0,implies(X1,X2))|ordered(X1,implies(X0,X2)))),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.15/0.35 fof(f36,plain,(
% 0.15/0.35 ~big_V(implies(x,y),implies(y,x))=truth),
% 0.15/0.35 inference(cnf_transformation,[status(esa)],[f17])).
% 0.15/0.35 fof(f38,plain,(
% 0.15/0.35 ![X0]: (big_V(truth,X0)=implies(X0,X0))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f18,f22])).
% 0.15/0.35 fof(f42,plain,(
% 0.15/0.35 ![X0,X1]: (implies(X0,implies(implies(X0,X1),implies(truth,X1)))=truth)),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.15/0.35 fof(f43,plain,(
% 0.15/0.35 ![X0,X1]: (implies(X0,implies(implies(X0,X1),X1))=truth)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f18,f42])).
% 0.15/0.35 fof(f44,plain,(
% 0.15/0.35 ![X0,X1]: (implies(X0,big_V(X0,X1))=truth)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f22,f43])).
% 0.15/0.35 fof(f64,plain,(
% 0.15/0.35 ![X0]: (big_V(truth,X0)=truth)),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f18,f44])).
% 0.15/0.35 fof(f65,plain,(
% 0.15/0.35 ![X0]: (implies(truth,implies(X0,X0))=truth)),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f38,f44])).
% 0.15/0.35 fof(f66,plain,(
% 0.15/0.35 ![X0]: (implies(X0,X0)=truth)),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f18,f65])).
% 0.15/0.35 fof(f94,plain,(
% 0.15/0.35 ![X0,X1]: (big_V(X0,X1)=implies(implies(X1,X0),X0))),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f22,f20])).
% 0.15/0.35 fof(f95,plain,(
% 0.15/0.35 ![X0,X1]: (big_V(X0,X1)=big_V(X1,X0))),
% 0.15/0.35 inference(forward_demodulation,[status(thm)],[f22,f94])).
% 0.15/0.35 fof(f96,plain,(
% 0.15/0.35 ![X0]: (truth=big_V(X0,truth))),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f64,f95])).
% 0.15/0.35 fof(f126,plain,(
% 0.15/0.35 ![X0]: (implies(X0,truth)=truth)),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f96,f44])).
% 0.15/0.35 fof(f278,plain,(
% 0.15/0.35 ![X0,X1]: (~ordered(X0,truth)|ordered(X1,implies(X0,truth)))),
% 0.16/0.58 inference(paramodulation,[status(thm)],[f126,f30])).
% 0.16/0.58 fof(f279,plain,(
% 0.16/0.58 ![X0,X1]: (~ordered(X0,truth)|ordered(X1,truth))),
% 0.16/0.58 inference(forward_demodulation,[status(thm)],[f126,f278])).
% 0.16/0.58 fof(f283,plain,(
% 0.16/0.58 spl0_0 <=> ordered(X0,truth)),
% 0.16/0.58 introduced(split_symbol_definition)).
% 0.16/0.58 fof(f284,plain,(
% 0.16/0.58 ![X0]: (ordered(X0,truth)|~spl0_0)),
% 0.16/0.58 inference(component_clause,[status(thm)],[f283])).
% 0.16/0.58 fof(f286,plain,(
% 0.16/0.58 spl0_1 <=> ~implies(X1,truth)=truth),
% 0.16/0.58 introduced(split_symbol_definition)).
% 0.16/0.58 fof(f287,plain,(
% 0.16/0.58 ![X0]: (~implies(X0,truth)=truth|~spl0_1)),
% 0.16/0.58 inference(component_clause,[status(thm)],[f286])).
% 0.16/0.58 fof(f289,plain,(
% 0.16/0.58 ![X0,X1]: (ordered(X0,truth)|~implies(X1,truth)=truth)),
% 0.16/0.58 inference(resolution,[status(thm)],[f279,f25])).
% 0.16/0.58 fof(f290,plain,(
% 0.16/0.58 spl0_0|spl0_1),
% 0.16/0.58 inference(split_clause,[status(thm)],[f289,f283,f286])).
% 0.16/0.58 fof(f293,plain,(
% 0.16/0.58 ![X0,X1]: (ordered(implies(X0,X1),implies(truth,X1))|~spl0_0)),
% 0.16/0.58 inference(resolution,[status(thm)],[f284,f27])).
% 0.16/0.58 fof(f294,plain,(
% 0.16/0.58 ![X0,X1]: (ordered(implies(X0,X1),X1)|~spl0_0)),
% 0.16/0.58 inference(forward_demodulation,[status(thm)],[f18,f293])).
% 0.16/0.58 fof(f310,plain,(
% 0.16/0.58 ![X0]: (ordered(truth,X0)|~spl0_0)),
% 0.16/0.58 inference(paramodulation,[status(thm)],[f66,f294])).
% 0.16/0.58 fof(f322,plain,(
% 0.16/0.58 ![X0]: (implies(truth,X0)=truth|~spl0_0)),
% 0.16/0.58 inference(resolution,[status(thm)],[f310,f24])).
% 0.16/0.58 fof(f323,plain,(
% 0.16/0.58 ![X0]: (X0=truth|~spl0_0)),
% 0.16/0.58 inference(forward_demodulation,[status(thm)],[f18,f322])).
% 0.16/0.58 fof(f325,plain,(
% 0.16/0.58 $false|~spl0_0),
% 0.16/0.58 inference(backward_subsumption_resolution,[status(thm)],[f36,f323])).
% 0.16/0.58 fof(f326,plain,(
% 0.16/0.58 ~spl0_0),
% 0.16/0.58 inference(contradiction_clause,[status(thm)],[f325])).
% 0.16/0.58 fof(f331,plain,(
% 0.16/0.58 $false|~spl0_1),
% 0.16/0.58 inference(resolution,[status(thm)],[f287,f18])).
% 0.16/0.58 fof(f332,plain,(
% 0.16/0.58 ~spl0_1),
% 0.16/0.58 inference(contradiction_clause,[status(thm)],[f331])).
% 0.16/0.58 fof(f333,plain,(
% 0.16/0.58 $false),
% 0.16/0.58 inference(sat_refutation,[status(thm)],[f290,f326,f332])).
% 0.16/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.58 % Elapsed time: 0.030963 seconds
% 0.16/0.58 % CPU time: 0.016855 seconds
% 0.16/0.58 % Memory used: 2.392 MB
%------------------------------------------------------------------------------