TSTP Solution File: HEN011-5 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HEN011-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:21:50 EDT 2024
% Result : Unsatisfiable 8.03s 1.40s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : HEN011-5 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % 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 20:01:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 8.03/1.40 % Refutation found
% 8.03/1.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.03/1.40 % SZS output start CNFRefutation for theBenchmark
% 8.03/1.40 fof(f1,axiom,(
% 8.03/1.40 (![X,Y]: (divide(divide(X,Y),X) = zero ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f2,axiom,(
% 8.03/1.40 (![X,Z,Y]: (divide(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) = zero ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f3,axiom,(
% 8.03/1.40 (![X]: (divide(zero,X) = zero ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f4,axiom,(
% 8.03/1.40 (![X,Y]: (( divide(X,Y) != zero| divide(Y,X) != zero| X = Y ) ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f5,axiom,(
% 8.03/1.40 (![X]: (divide(X,identity) = zero ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f7,axiom,(
% 8.03/1.40 (![X]: (divide(X,zero) = X ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f8,axiom,(
% 8.03/1.40 (![X,Y,Z]: (( divide(X,Y) != zero| divide(Y,Z) != zero| divide(X,Z) = zero ) ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f9,axiom,(
% 8.03/1.40 (![X,Y,Z]: (( divide(divide(X,Y),Z) != zero| divide(divide(X,Z),Y) = zero ) ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f12,axiom,(
% 8.03/1.40 (![X]: (divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f13,axiom,(
% 8.03/1.40 (![X]: (divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X) ))),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f14,negated_conjecture,(
% 8.03/1.40 divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))) ),
% 8.03/1.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.03/1.40 fof(f15,plain,(
% 8.03/1.40 ![X0,X1]: (divide(divide(X0,X1),X0)=zero)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f1])).
% 8.03/1.40 fof(f16,plain,(
% 8.03/1.40 ![X0,X1,X2]: (divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))=zero)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f2])).
% 8.03/1.40 fof(f17,plain,(
% 8.03/1.40 ![X0]: (divide(zero,X0)=zero)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f3])).
% 8.03/1.40 fof(f18,plain,(
% 8.03/1.40 ![X0,X1]: (~divide(X0,X1)=zero|~divide(X1,X0)=zero|X0=X1)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f4])).
% 8.03/1.40 fof(f19,plain,(
% 8.03/1.40 ![X0]: (divide(X0,identity)=zero)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f5])).
% 8.03/1.40 fof(f21,plain,(
% 8.03/1.40 ![X0]: (divide(X0,zero)=X0)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f7])).
% 8.03/1.40 fof(f22,plain,(
% 8.03/1.40 ![X,Z]: ((![Y]: (~divide(X,Y)=zero|~divide(Y,Z)=zero))|divide(X,Z)=zero)),
% 8.03/1.40 inference(miniscoping,[status(esa)],[f8])).
% 8.03/1.40 fof(f23,plain,(
% 8.03/1.40 ![X0,X1,X2]: (~divide(X0,X1)=zero|~divide(X1,X2)=zero|divide(X0,X2)=zero)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f22])).
% 8.03/1.40 fof(f24,plain,(
% 8.03/1.40 ![X0,X1,X2]: (~divide(divide(X0,X1),X2)=zero|divide(divide(X0,X2),X1)=zero)),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f9])).
% 8.03/1.40 fof(f29,plain,(
% 8.03/1.40 ![X0]: (divide(identity,divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f12])).
% 8.03/1.40 fof(f30,plain,(
% 8.03/1.40 ![X0]: (divide(divide(identity,X0),divide(identity,divide(identity,X0)))=divide(identity,X0))),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f13])).
% 8.03/1.40 fof(f31,plain,(
% 8.03/1.40 ~divide(divide(identity,a),divide(identity,divide(identity,b)))=divide(divide(identity,b),divide(identity,divide(identity,a)))),
% 8.03/1.40 inference(cnf_transformation,[status(esa)],[f14])).
% 8.03/1.40 fof(f80,plain,(
% 8.03/1.40 spl0_0 <=> divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))=zero),
% 8.03/1.40 introduced(split_symbol_definition)).
% 8.03/1.40 fof(f82,plain,(
% 8.03/1.40 ~divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))=zero|spl0_0),
% 8.03/1.40 inference(component_clause,[status(thm)],[f80])).
% 8.03/1.40 fof(f83,plain,(
% 8.03/1.40 spl0_1 <=> divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))=zero),
% 8.03/1.40 introduced(split_symbol_definition)).
% 8.03/1.40 fof(f85,plain,(
% 8.03/1.40 ~divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))=zero|spl0_1),
% 8.03/1.40 inference(component_clause,[status(thm)],[f83])).
% 8.03/1.40 fof(f86,plain,(
% 8.03/1.40 ~divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))=zero|~divide(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))=zero),
% 8.03/1.40 inference(resolution,[status(thm)],[f18,f31])).
% 8.03/1.40 fof(f87,plain,(
% 8.03/1.40 ~spl0_0|~spl0_1),
% 8.03/1.40 inference(split_clause,[status(thm)],[f86,f80,f83])).
% 8.03/1.40 fof(f90,plain,(
% 8.03/1.40 spl0_2 <=> divide(divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))),zero)=zero),
% 8.03/1.40 introduced(split_symbol_definition)).
% 8.03/1.40 fof(f92,plain,(
% 8.03/1.40 ~divide(divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))),zero)=zero|spl0_2),
% 8.03/1.40 inference(component_clause,[status(thm)],[f90])).
% 8.03/1.40 fof(f93,plain,(
% 8.03/1.40 spl0_3 <=> divide(zero,divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))))=zero),
% 8.03/1.40 introduced(split_symbol_definition)).
% 8.03/1.40 fof(f95,plain,(
% 8.03/1.40 ~divide(zero,divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))))=zero|spl0_3),
% 8.03/1.40 inference(component_clause,[status(thm)],[f93])).
% 8.03/1.40 fof(f96,plain,(
% 8.03/1.40 ~divide(divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))),zero)=zero|~divide(zero,divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a)))))=zero|spl0_0),
% 8.03/1.40 inference(resolution,[status(thm)],[f82,f18])).
% 8.03/1.40 fof(f97,plain,(
% 8.03/1.40 ~spl0_2|~spl0_3|spl0_0),
% 8.03/1.40 inference(split_clause,[status(thm)],[f96,f90,f93,f80])).
% 8.03/1.40 fof(f100,plain,(
% 8.03/1.40 ~zero=zero|spl0_3),
% 8.03/1.40 inference(forward_demodulation,[status(thm)],[f17,f95])).
% 8.03/1.40 fof(f101,plain,(
% 8.03/1.40 $false|spl0_3),
% 8.03/1.40 inference(trivial_equality_resolution,[status(esa)],[f100])).
% 8.03/1.40 fof(f102,plain,(
% 8.03/1.40 spl0_3),
% 8.03/1.40 inference(contradiction_clause,[status(thm)],[f101])).
% 8.03/1.40 fof(f103,plain,(
% 8.03/1.40 ~divide(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))=zero|spl0_2),
% 8.03/1.40 inference(forward_demodulation,[status(thm)],[f21,f92])).
% 8.03/1.40 fof(f129,plain,(
% 8.03/1.40 ![X0,X1]: (~divide(divide(identity,X0),X1)=zero|~divide(X1,divide(identity,divide(identity,X0)))=zero|divide(identity,X0)=zero)),
% 8.03/1.40 inference(paramodulation,[status(thm)],[f30,f23])).
% 8.03/1.40 fof(f133,plain,(
% 8.03/1.40 spl0_7 <=> zero=zero),
% 8.03/1.40 introduced(split_symbol_definition)).
% 8.03/1.40 fof(f240,plain,(
% 8.03/1.40 spl0_18 <=> ~divide(divide(identity,identity),X0)=zero|~divide(X0,divide(identity,divide(identity,identity)))=zero),
% 8.03/1.40 introduced(split_symbol_definition)).
% 8.03/1.40 fof(f241,plain,(
% 8.03/1.40 ![X0]: (~divide(divide(identity,identity),X0)=zero|~divide(X0,divide(identity,divide(identity,identity)))=zero|~spl0_18)),
% 8.03/1.40 inference(component_clause,[status(thm)],[f240])).
% 8.03/1.40 fof(f243,plain,(
% 8.03/1.40 ![X0]: (~divide(divide(identity,identity),X0)=zero|~divide(X0,divide(identity,divide(identity,identity)))=zero|zero=zero)),
% 8.03/1.40 inference(paramodulation,[status(thm)],[f19,f129])).
% 8.03/1.40 fof(f244,plain,(
% 8.03/1.40 spl0_18|spl0_7),
% 8.03/1.40 inference(split_clause,[status(thm)],[f243,f240,f133])).
% 8.03/1.40 fof(f498,plain,(
% 8.03/1.40 ![X0,X1]: (divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(divide(identity,X1),divide(identity,divide(identity,X0))))=zero)),
% 8.03/1.40 inference(paramodulation,[status(thm)],[f29,f16])).
% 8.03/1.40 fof(f521,plain,(
% 8.03/1.40 ![X0,X1,X2]: (divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 8.03/1.40 inference(paramodulation,[status(thm)],[f15,f16])).
% 8.03/1.40 fof(f522,plain,(
% 8.03/1.40 ![X0,X1,X2]: (divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1))=zero)),
% 8.03/1.40 inference(forward_demodulation,[status(thm)],[f21,f521])).
% 8.03/1.41 fof(f594,plain,(
% 8.03/1.41 ~divide(divide(divide(identity,a),divide(divide(identity,b),divide(identity,divide(identity,a)))),divide(identity,divide(identity,b)))=zero|spl0_2),
% 8.03/1.41 inference(resolution,[status(thm)],[f103,f24])).
% 8.03/1.41 fof(f666,plain,(
% 8.03/1.41 ![X0]: (~divide(zero,X0)=zero|~divide(X0,divide(identity,divide(identity,identity)))=zero|~spl0_18)),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f19,f241])).
% 8.03/1.41 fof(f667,plain,(
% 8.03/1.41 ![X0]: (~zero=zero|~divide(X0,divide(identity,divide(identity,identity)))=zero|~spl0_18)),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f17,f666])).
% 8.03/1.41 fof(f668,plain,(
% 8.03/1.41 ![X0]: (~zero=zero|~divide(X0,divide(identity,zero))=zero|~spl0_18)),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f19,f667])).
% 8.03/1.41 fof(f669,plain,(
% 8.03/1.41 ![X0]: (~zero=zero|~divide(X0,identity)=zero|~spl0_18)),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f21,f668])).
% 8.03/1.41 fof(f670,plain,(
% 8.03/1.41 ~zero=zero|~zero=zero|~spl0_18),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f19,f669])).
% 8.03/1.41 fof(f671,plain,(
% 8.03/1.41 ~zero=zero|~spl0_18),
% 8.03/1.41 inference(duplicate_literals_removal,[status(esa)],[f670])).
% 8.03/1.41 fof(f672,plain,(
% 8.03/1.41 $false|~spl0_18),
% 8.03/1.41 inference(trivial_equality_resolution,[status(esa)],[f671])).
% 8.03/1.41 fof(f673,plain,(
% 8.03/1.41 ~spl0_18),
% 8.03/1.41 inference(contradiction_clause,[status(thm)],[f672])).
% 8.03/1.41 fof(f2617,plain,(
% 8.03/1.41 ~divide(divide(divide(identity,b),divide(divide(identity,a),divide(identity,divide(identity,b)))),divide(identity,divide(identity,a)))=zero|spl0_1),
% 8.03/1.41 inference(resolution,[status(thm)],[f85,f24])).
% 8.03/1.41 fof(f7758,plain,(
% 8.03/1.41 ![X0,X1]: (divide(divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(identity,X1)),divide(zero,divide(identity,X1)))=zero)),
% 8.03/1.41 inference(paramodulation,[status(thm)],[f498,f522])).
% 8.03/1.41 fof(f7759,plain,(
% 8.03/1.41 ![X0,X1]: (divide(divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(identity,X1)),zero)=zero)),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f17,f7758])).
% 8.03/1.41 fof(f7760,plain,(
% 8.03/1.41 ![X0,X1]: (divide(divide(divide(identity,X0),divide(X1,divide(identity,divide(identity,X0)))),divide(identity,X1))=zero)),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f21,f7759])).
% 8.03/1.41 fof(f8124,plain,(
% 8.03/1.41 ~zero=zero|spl0_1),
% 8.03/1.41 inference(backward_demodulation,[status(thm)],[f7760,f2617])).
% 8.03/1.41 fof(f8125,plain,(
% 8.03/1.41 ~spl0_7|spl0_1),
% 8.03/1.41 inference(split_clause,[status(thm)],[f8124,f133,f83])).
% 8.03/1.41 fof(f8133,plain,(
% 8.03/1.41 ~zero=zero|spl0_2),
% 8.03/1.41 inference(forward_demodulation,[status(thm)],[f7760,f594])).
% 8.03/1.41 fof(f8134,plain,(
% 8.03/1.41 $false|spl0_2),
% 8.03/1.41 inference(trivial_equality_resolution,[status(esa)],[f8133])).
% 8.03/1.41 fof(f8135,plain,(
% 8.03/1.41 spl0_2),
% 8.03/1.41 inference(contradiction_clause,[status(thm)],[f8134])).
% 8.03/1.41 fof(f8136,plain,(
% 8.03/1.41 $false),
% 8.03/1.41 inference(sat_refutation,[status(thm)],[f87,f97,f102,f244,f673,f8125,f8135])).
% 8.03/1.41 % SZS output end CNFRefutation for theBenchmark.p
% 8.63/1.46 % Elapsed time: 1.088569 seconds
% 8.63/1.46 % CPU time: 8.420772 seconds
% 8.63/1.46 % Total memory used: 172.648 MB
% 8.63/1.46 % Net memory used: 165.310 MB
%------------------------------------------------------------------------------